Home › NEET › 2026 › Physics

NEET 2026 — Physics Questions with Answers

All 146 Physics previous-year questions from NEET 2026, each with the correct answer and a full explanation. Practise them as a free, timed mock test with instant scoring.

1. Q1.Basic Physics

   The speed of light in vacuum is taken as unity. If light takes 6 min 40 s to reach the Earth from the Sun, the distance between the Sun and the Earth in new unit is:

   • a)3 × 10^8
   • b)500
   • c)3 × 10^10
   • d)400
2. Q2.AC Circuits

   An ‘ac’ circuit contains a resistance of \(1~\text{k}\Omega\), a capacitor of \(0.1~\mu\text{F}\) and an inductor of \(1~\text{mH}\) connected in series. The resonance frequency of the circuit is approximately:

   • a)13.5 kHz
   • b)10.1 kHz
   • c)20.7 kHz
   • d)15.9 kHz
3. Q3.Properties of matter

   Match List I with List II: List I A. Young's Modulus B. Compressibility C. Bulk Modulus D. Poisson's Ratio List II I. \( \frac{\Delta d}{d} \bigg/ \frac{\Delta L}{L} \) II. \( \frac{F L}{A (\Delta L)} \) III. \( - \frac{1}{\Delta P} \bigg( \frac{\Delta V}{V} \bigg) \) IV. \( - P \bigg( \frac{\Delta V}{V} \bigg) \) Choose the correct answer from the options given below:

   • a)A-IV, B-I, C-II, D-III
   • b)A-III, B-II, C-I, D-IV
   • c)A-I, B-IV, C-III, D-II
   • d)A-II, B-III, C-IV, D-I
4. Q4.Wave Optics

   In interference and diffraction, the light energy is redistributed. If it reduces in one region, producing a dark fringe, it increases in another region, producing a bright fringe. A. As there is no gain or loss of energy, these phenomena are consistent with the principle of conservation of energy. B. Diffraction and interference are characteristics exhibited only by light waves. Choose the correct answer from the options given below:

   • a)A is true and B is also true
   • b)A is false, but B is true
   • c)A is true, but B is false
   • d)Both A and B are false
5. Q5.Wave motion

   For a travelling harmonic wave \(y(x,t) = 2.0 \cos 2\pi(10t - 0.0080x + 0.35)\), where \(x\) and \(y\) are in \(\text{cm}\) and \(t\) in \(\text{s}\). The phase difference between oscillatory motion of two points separated by a distance of \(0.5~\text{m}\) is:

   • a)\(0.08~\pi~\text{rad}\)
   • b)\(0.8~\pi~\text{rad}\)
   • c)\(8~\pi~\text{rad}\)
   • d)\(0.008~\pi~\text{rad}\)
6. Q6.Laws of Motion

   The magnitude and direction of the acceleration produced in a body of mass \(5~\text{kg}\) when two mutually perpendicular forces \(8~\text{N}\) and \(6~\text{N}\) act on it, are respectively:

   • a)\(20~\text{m}~\text{s}^{-2}\); \(\tan^{-1} (4/3)\) with \(8~\text{N}\) force
   • b)\(2~\text{m}~\text{s}^{-2}\); \(\tan^{-1} (3/4)\) with \(6~\text{N}\) force
   • c)\(2~\text{m}~\text{s}^{-2}\); \(\tan^{-1} (4/3)\) with \(8~\text{N}\) force
   • d)\(2~\text{m}~\text{s}^{-2}\); \(\tan^{-1} (3/4)\) with \(8~\text{N}\) force
7. Q7.Electrostatics

   Consider two uncharged capacitors of equal capacitance \(200~\text{pF}\). One of them is charged by a \(100~\text{V}\) supply and disconnected. Now this capacitor is connected to the uncharged capacitor. The amount of electrostatic energy lost in the process is:

   • a)\(0.5 \times 10^{-6}~\text{J}\)
   • b)\(1.0~\text{J}\)
   • c)\(1.0 \times 10^{-6}~\text{J}\)
   • d)\(0.5~\text{J}\)
8. Q8.Work, Energy, Power

   The power of a crane, which lifts a mass of \(1000~\text{kg}\) to a height of \(20~\text{m}\) in \(10~\text{s}\) is : (\(g=9.8~\text{m}/\text{s}^{2}\))

   • a)\(19.6~\text{W}\)
   • b)\(39.2~\text{W}\)
   • c)\(19.6~\text{kW}\)
   • d)\(39.2~\text{kW}\)
9. Q9.Measurement Instruments

   In a vernier callipers, 20 VSD coincide with 16 MSD (each division of length 1 mm). The least count of the vernier callipers is :

   • a)\(0.2~\text{cm}\)
   • b)\(0.01~\text{cm}\)
   • c)\(0.02~\text{cm}\)
   • d)\(0.1~\text{cm}\)
10. Q10.Kinematics, Motion

    When a ruler falls vertically, 5 different persons catch it with different reaction times. (\(g=9.8~\text{m}~\text{s}^{-2}\)) A. Person A has reaction time of \(0.20~\text{s}\). B. Person B has reaction time of \(0.22~\text{s}\). C. Person C has reaction time of \(0.18~\text{s}\). D. Person D has reaction time of \(0.19~\text{s}\). E. Person E has reaction time of \(0.21~\text{s}\). What is the correct order of the distance travelled by the ruler for each person?

    • a)B > E > A > C > D
    • b)C > D > A > B > E
    • c)B > E > A > D > C
    • d)C > D > A > E > B
11. Q11.Electric Circuits

    A uniform metallic wire having resistance \(4 \,\Omega\) is bent to form a square loop (ABCD) (see figure). A resistance of \(2 \,\Omega\) is connected between points B and D and a battery of \(2 \,V\) is connected across points A and C as shown in the figure. Now the value of current \(I\) is:

    • a)2 A
    • b)8 A
    • c)4.5 A
    • d)4 A
12. Q12.Electrical Power

    A room heater is rated \(400 \,W, 220 \,V\). If the supply voltage drops to \(200 \,V\), what will be the power consumed (approximately) ?

    • a)200 W
    • b)400 W
    • c)331 W
    • d)121 W
13. Q13.Magnetism, Coils

    A 100-turn closely wound circular coil of radius \(5 \,cm\) has a magnetic field of \(3.14 \times 10^{-2} \,T\) at its centre. The current flowing through the coil, and the magnitude of the magnetic moment of this coil are, respectively (Take \(\mu_0 = 4 \,\pi \times 10^{-7} \,T \,m/A\))

    • a)\(2 \,A, 10 \,A \,m^2\)
    • b)\(2.5 \,A, 20 \,A \,m^2\)
    • c)\(2 \,A, 4 \,A \,m^2\)
    • d)\(2.5 \,A, 2 \,A \,m^2\)
14. Q14.Electronic Circuits

    The current I in the circuit shown below is: (All diodes are ideal and identical)

    • a)\( \frac{5}{3} \text{ A} \)
    • b)\( \frac{5}{9} \text{ A} \)
    • c)\( \frac{1}{3} \text{ A} \)
    • d)\( \frac{15}{2} \text{ A} \)
15. Q15.Electromagnetic Induction

    A rectangular wire loop of sides \(8 \,cm\) and \(3 \,cm\) with a small cut, is moving out of a region of uniform magnetic field of magnitude \(0.3 \,T\) directed normal to the plane of the loop. The emf developed across the cut, if the velocity of the loop is \(2 \,cm/s\), in a direction normal to the shorter side of the loop, will be :

    • a)\(4.8 \times 10^{-4}\) volt
    • b)\(1.2 \times 10^{-4}\) volt
    • c)\(1.3 \times 10^{-4}\) volt
    • d)\(1.8 \times 10^{-4}\) volt
16. Q16.Nuclear Physics

    Four statements are given (A is mass number) : A. The volume of a nucleus is proportional to \(A^{1/3}\). B. The volume of a nucleus is proportional to A. C. The difference in mass of an atom and its nucleus is called the mass defect. D. The difference in mass of a nucleus and its constituents is called the mass defect. Choose the correct answer from the options given below :

    • a)A and C are true, but B and D are false.
    • b)B and C are true, but A and D are false.
    • c)A and D are true, but B and C are false.
    • d)B and D are true, but A and C are false.
17. Q17.Nuclear Physics

    An unknown nucleus has a nuclear density of \(2.29 \times 10^{17} \,kg/m^3\) and mass of \(19.926 \times 10^{-27} \,kg\). Its mass number A is approximately : (Take \(R_0 = 1.2 \times 10^{-15} \,m\), \(4\pi = 12.56\))

    • a)12
    • b)20
    • c)16
    • d)19
18. Q18.Simple Harmonic Motion

    Savitha, a XI standard student, while conducting an experiment to determine the effective length of a simple pendulum L, notes down the data of time taken to complete 30 oscillations as 60 s and hence calculates the length of the simple pendulum as : (Take \(\pi^2 = 9.8\), and \(g = 9.8 \,m/s^2\))

    • a)0.75 m
    • b)1.5 m
    • c)2 m
    • d)1 m
19. Q19.Thermodynamics

    An electric heater supplies heat to a system at a rate of \(100 \,W\). If the system performs work at a rate of \(75 \,J/s\), then the rate at which internal energy increases will be :

    • a)75 W
    • b)100 W
    • c)125 W
    • d)25 W
20. Q20.Rotational Dynamics

    A thin wire of length 'L' and linear mass density 'm' is bent into a circular ring (in x-y plane) with centre 'C' as shown in figure. The moment of inertia of the ring about an axis yy' will be :

    • a)\(\frac{3mL^2}{8\pi}\)
    • b)\(\frac{3mL^2}{8\pi^2}\)
    • c)\(\frac{3mL^2}{8\pi}\)
    • d)\(\frac{3mL^2}{8\pi^2}\)
21. Q21.Current Electricity

    A galvanometer of resistance \(100\ \Omega\) gives full scale deflection for a current of \(1\ \text{mA}\). It is converted into an ammeter of range \(0 - 10\ \text{A}\). The shunt required is:

    • a)\(0.01\ \Omega\)
    • b)\(0.10\ \Omega\)
    • c)\(1.0\ \Omega\)
    • d)\(0.001\ \Omega\)
22. Q22.Current Electricity

    In a metre bridge experiment (see figure), the positions of the cell, E, and galvanometer, G, are interchanged. We shall observe in the galvanometer:

    • a)Only the left-sided deflection
    • b)There will be no deflection irrespective of the position of the jockey
    • c)Only the right-sided deflection
    • d)Both right-sided and left-sided deflection and at balance point, no deflection
23. Q23.Alternating Current

    The peak value of an alternating current is 5 A and frequency is \(60\ \text{Hz}\). How long will the current, starting from zero, take to reach the peak value ?

    • a)\(\frac{1}{120}\ \text{s}\)
    • b)\(\frac{1}{60}\ \text{s}\)
    • c)\(\frac{1}{30}\ \text{s}\)
    • d)\(\frac{1}{240}\ \text{s}\)
24. Q24.Magnetic Fields

    The figure given below shows a long straight solid wire of circular cross-section of radius 'a' carrying steady current I. The current I is uniformly distributed across its cross-section. The plot which correctly represents the variation of magnetic field (B) with distance (r) from the axis of the conductor in the region is :

    • a)A graph with B increasing linearly from r=0 to r=a, and then decreasing with 1/r for r>a.
    • b)A graph with B starting high at r=0, decreasing to a minimum at r=a, then further decreasing for r>a.
    • c)A graph with B constant from r=0 to r=a, then decreasing for r>a.
    • d)A graph with B increasing as a curve from r=0 to r=a, and then decreasing with 1/r for r>a.
25. Q25.Rotational Kinematics

    The angular speed of a flywheel is increased from 600 rpm to 1200 rpm in 10 s. The number of revolutions completed by the flywheel during this time is:

    • a)900
    • b)600
    • c)150
    • d)300
26. Q26.Semiconductor Diodes

    Two statements are given below: A. When the forward bias voltage across a p-n junction diode increases above a certain threshold voltage, the diode current increases significantly. B. This current is called reverse saturation current. Choose the correct answer from the options given below:

    • a)Both Statements A and B are true
    • b)Statement A is true, but Statement B is false
    • c)Both Statements A and B are false
    • d)Statement A is false, but Statement B is true
27. Q27.Electrostatics Conductors

    Which of the following statements are correct ? A. Inside a conductor, the electrostatic field is zero. B. Electric field at the surface of a charged conductor does not depend on its surface charge density. C. The interior of a charged conductor can have no excess charge in the static situation. D. At the surface of a charged conductor, the electrostatic field must be normal to the surface at every point. E. The electrostatic potential is zero everywhere inside a charged conductor. Choose the correct answer from the options given below:

    • a)A, B and D only
    • b)A, C and E only
    • c)A, C and D only
    • d)C, D and E only
28. Q28.Photoelectric Effect

    For a metal of work function \(6.6 \text{ eV}\), which of the following wavelengths of incident radiation does not give rise to the photoelectric effect? (Take Planck's constant as \(6.6 \times 10^{-34} \text{ J s}\)).

    • a)100 nm
    • b)150 nm
    • c)200 nm
    • d)50 nm
29. Q29.Geometrical Optics

    In a concave lens, a ray of light emanating from the object parallel to the principal axis of the lens, after refraction :

    • a)passes through \(2F\), which is the radius of curvature of the lens.
    • b)appears to diverge from the first principal focus.
    • c)emerges parallel to the principal axis.
    • d)passes through the second principal focus.
30. Q30.Fluid Mechanics

    A submarine is designed to withstand an absolute pressure of \(100 \text{ atm}\). How deep can it go below the water surface ? (Consider the density of water \( = 1000 \text{ kg m}^{-3}\), \(1 \text{ atm} = 1 \times 10^5 \text{ Pa}\) and gravitational acceleration \(g = 10 \text{ m/s}^2\))

    • a)990 m
    • b)9900 m
    • c)99 m
    • d)9000 m
31. Q31.Electromagnetic Spectrum

    Match List I with List II : List I (Electromagnetic wave) A. Microwave B. Visible light C. Gamma rays D. Infra-red rays List II (Production) I. Electrons in atoms emit light when they move from a higher energy level to a lower energy level II. Radioactive decay of nucleus III. Vibration of atoms and molecules IV. Klystron valve or magnetron valve Choose the correct answer from the options given below:

    • a)A-III, B-I, C-II, D-IV
    • b)A-III, B-IV, C-I, D-II
    • c)A-IV, B-I, C-II, D-III
    • d)A-IV, B-III, C-II, D-I
32. Q32.Simple Harmonic Motion

    For a simple pendulum having time period T, the variation of kinetic energy (K.E.) with time (t) is represented by:

    • a)A graph of K.E. vs t, showing a horizontal line above 0.
    • b)A graph of K.E. vs t, showing a sinusoidal wave oscillating around a positive value, starting from K.E.=0 at t=0 and becoming 0 again at T/2 and T, with negative values possible.
    • c)A graph of K.E. vs t, showing a curve starting from 0, peaking at T/4, returning to 0 at T/2, peaking again at 3T/4, and returning to 0 at T. This represents full-wave rectified sine wave, always positive, with period T/2.
    • d)A graph of K.E. vs t, showing a sinusoidal wave oscillating about a positive value, starting from a positive value at t=0 and completing one full cycle at t=T.
33. Q33.Current Electricity

    A resistor is connected to a battery of 12 V emf and internal resistance \(2 \ \Omega\). If the current in the circuit is 0.6 A, the terminal voltage of the battery is:

    • a)10 V
    • b)1.2 V
    • c)12 V
    • d)10.8 V
34. Q34.Kinematics graphs

    The following plots show variation of velocity (v) with time (t), of a ball thrown vertically upward, and falling back. Which of the following plots is/are correct?

    • a)(1) B only
    • b)(2) A and E only
    • c)(3) D only
    • d)(4) C only
35. Q35.Fluid mechanics

    A submarine is designed to withstand an absolute pressure of 100 atm. How deep can it go below the water surface ? (Consider the density of water = \(1000 \text{ kg m}^{-3}\). \(1 \text{ atm} = 1 \times 10^5 \text{ Pa}\) and gravitational acceleration \(g = 10 \text{ m/s}^2\))

    • a)990 m
    • b)9000 m
    • c)99 m
    • d)9900 m
36. Q36.Thermodynamics

    An electric heater supplies heat to a system at a rate of 100 W. If the system performs work at a rate of 75 J/s, then the rate at which internal energy increases will be :

    • a)125 W
    • b)75 W
    • c)100 W
    • d)25 W
37. Q37.Electromagnetism

    A 100-turn closely wound circular coil of radius 5 cm has a magnetic field of \(3 \cdot 14 \times 10^{-3} \text{ T}\) at its centre. The current flowing through the coil, and the magnitude of the magnetic moment of this coil are, respectively : (Take \(\mu_0 = 4\pi \times 10^{-7} \text{ T m/A}\))

    • a)\(2 \text{ A}, 4 \text{ A m}^2\)
    • b)\(2 \cdot 5 \text{ A}, 20 \text{ A m}^2\)
    • c)\(2 \cdot 5 \text{ A}, 2 \text{ A m}^2\)
    • d)\(2 \text{ A}, 10 \text{ A m}^2\)
38. Q38.Wave Optics

    In Young's double slit experiment, using monochromatic light of wavelength \(\lambda\), the intensity of light at a point on the screen where the path difference is \(\lambda\) is K units. The intensity of light at a point where the path difference is \(\frac{\lambda}{3}\) will be :

    • a)\(\frac{\text{K}}{2}\)
    • b)\(2\text{K}\)
    • c)\(\frac{2\text{K}}{4}\)
    • d)\(\text{K}\)
39. Q39.Electronics

    The current I in the circuit shown below is : (All diodes are ideal and identical)

    • a)\(\frac{5}{3}\text{ A}\)
    • b)\(\frac{5}{9}\text{ A}\)
    • c)\(\frac{15}{2}\text{ A}\)
    • d)\(\frac{1}{3}\text{ A}\)
40. Q40.Optics

    In a concave lens, a ray of light emanating from the object parallel to the principal axis of the lens, after refraction:

    • a)passes through the second principal focus.
    • b)appears to diverge from the first principal focus.
    • c)emerges parallel to the principal axis.
    • d)passes through 2F, which is the radius of curvature of the lens.
41. Q41.Electrical Measurement

    A galvanometer of resistance \(100 \ \Omega\) gives full scale deflection for a current of \(1 \ ext{mA}\). It is converted into an ammeter of range \(0 - 10 \ ext{A}\). The shunt required is:

    • a)\(0.10 \ \Omega\)
    • b)\(0.001 \ \Omega\)
    • c)\(1.0 \ \Omega\)
    • d)\(0.01 \ \Omega\)
42. Q42.Atomic Structure

    In the first excited state of hydrogen atom, the energy of its electron is \(3.4 \ ext{eV}\). The radial distance of the electron from the hydrogen nucleus in this case is approximately: (Take \(1 \ ext{eV} = 1.6 imes 10^{-19} \ ext{J}\), \(e = 1.6 imes 10^{-19} \ ext{C}\) and \(rac{1}{4\pi\epsilon_0} = 9 imes 10^{9} \ ext{N m}^2/ ext{C}^2\))

    • a)\(2.1 imes 10^{-11} \ ext{m}\)
    • b)\(2.1 imes 10^{-10} \ ext{m}\)
    • c)\(2.1 imes 10^{-9} \ ext{m}\)
    • d)\(2.1 imes 10^{-8} \ ext{m}\)
43. Q43.Work, energy, power

    The amount of work done to raise a mass '\(m\)' from the surface of the Earth to a height equal to the radius of the Earth 'R', will be:

    • a)\(mgR\)
    • b)\(2mgR\)
    • c)\(mgrac{R}{4}\)
    • d)\(mgrac{R}{2}\)
44. Q44.Alternating current circuits

    An ac circuit contains a resistance of \(1 \ ext{k}\Omega\), a capacitor of \(0.1 \ \mu ext{F}\) and an inductor of \(1 \ ext{mH}\) connected in series. The resonance frequency of the circuit is approximately:

    • a)\(13.5 \ ext{kHz}\)
    • b)\(15.9 \ ext{kHz}\)
    • c)\(10.1 \ ext{kHz}\)
    • d)\(20.7 \ ext{kHz}\)
45. Q45.Modern physics

    For a metal of work function \(6.6\, \text{eV}\), which of the following wavelengths of incident radiation does not give rise to the photoelectric effect? (Take Planck's constant as \(6.6 \times 10^{-34}\, \text{J s}\))

    • a)(1) \(50\, \text{nm}\)
    • b)(2) \(100\, \text{nm}\)
    • c)(3) \(150\, \text{nm}\)
    • d)(4) \(200\, \text{nm}\)
46. Q46.Electrostatics

    Consider two uncharged capacitors of equal capacitance \(200 \ ext{pF}\). One of them is charged by a \(100 \ ext{V}\) supply and disconnected. Now this capacitor is connected to the uncharged capacitor. The amount of electrostatic energy lost in the process is:

    • a)\(1 \cdot 0 \ ext{J}\)
    • b)\(0 \cdot 5 \ ext{J}\)
    • c)\(1 \cdot 0 imes 10^{-6} \ ext{J}\)
    • d)\(0 \cdot 5 imes 10^{-6} \ ext{J}\)
47. Q47.Optics

    A ray of monochromatic light is passing through an equilateral prism (ABC) as shown in the figure. The refracted ray (QR) is parallel to its base (BC) and the angle of incidence (\(i\)) is \(50^\circ\). Then the angle of deviation (\(\delta\)) is:

    • a)\(45^\circ\)
    • b)\(40^\circ\)
    • c)\(35^\circ\)
    • d)\(55^\circ\)
48. Q48.Electric circuits

    In a metre bridge experiment (see figure), the positions of the cell, E, and galvanometer, G, are interchanged. We shall observe in the galvanometer:

    • a)Only the left-sided deflection
    • b)Both right-sided and left-sided deflection and at balance point, no deflection
    • c)Only the right-sided deflection
    • d)There will be no deflection irrespective of the position of the jockey
49. Q49.Work, Energy, Power

    The power of a crane, which lifts a mass of \(1000\, \text{kg}\) to a height of \(20\, \text{m}\) in \(10\, \text{s}\) is: (\(g = 9.8\, \text{m/s}^2\))

    • a)(1) \(39.2\, \text{kW}\)
    • b)(2) \(39.2\, \text{W}\)
    • c)(3) \(19.6\, \text{kW}\)
    • d)(4) \(19.6\, \text{W}\)
50. Q50.Rotational motion

    The angular speed of a flywheel is increased from 600 rpm to 1200 rpm in 10 s. The number of revolutions completed by the flywheel during this time is :

    • a)300
    • b)150
    • c)900
    • d)600
51. Q51.Magnetism

    The figure given below shows a long straight solid wire of circular cross-section of radius 'a' carrying steady current I. The current I is uniformly distributed across its cross-section. The plot which correctly represents the variation of magnetic field (B) with distance (r) from the axis of the conductor in the region is :

    • a)B vs r graph showing B constant from r=0 to r=a, then decreasing as 1/r for r>a.
    • b)B vs r graph showing B increasing linearly from 0 to a maximum at r=a, then decreasing as 1/r for r>a.
    • c)B vs r graph showing B starting positive, decreasing to a minimum at r=a, then increasing before decreasing for r>a.
    • d)B vs r graph showing B increasing linearly from 0 to a maximum at r=a, then decreasing as 1/r for r>a.
52. Q52.Nuclear Physics

    Four statements are given (A is mass number): A. The volume of a nucleus is proportional to \(A^{1/3}\). B. The volume of a nucleus is proportional to A. C. The difference in mass of an atom and its nucleus is called the mass defect. D. The difference in mass of a nucleus and its constituents is called the mass defect. Choose the correct answer from the options given below:

    • a)A and D are true, but B and C are false
    • b)B and D are true, but A and C are false
    • c)B and C are true, but A and D are false
    • d)A and C are true, but B and D are false
53. Q53.Oscillations

    Savitha, a XI standard student, while conducting an experiment to determine the effective length of a simple pendulum L, notes down the data of time taken to complete 30 oscillations as 60 s and hence calculates the length of the simple pendulum as: (Take \(\pi^2 = 9.8\), and \(g = 9.8\) \(\mathrm{m/s^2}\))

    • a)2 m
    • b)1 m
    • c)0.75 m
    • d)1.5 m
54. Q54.Measurements

    In a vernier callipers, 20 VSD coincide with 16 MSD (each division of length 1 mm). The least count of the vernier callipers is:

    • a)0.1 cm
    • b)0.2 cm
    • c)0.01 cm
    • d)0.2 cm
55. Q55.Measurements, Density

    Each side of a metallic cube of mass 5.580 kg is measured to be 9.0 cm. Keeping the significant figures in view, the density of the material of the cube can be best expressed as \(X imes 10^3\) \(\mathrm{kg \ m^{-3}}\), where the value of X is:

    • a)7.654
    • b)7.6
    • c)7.65
    • d)7.7
56. Q56.Wave Optics

    In interference and diffraction, the light energy is redistributed. If it reduces in one region, producing a dark fringe, it increases in another region, producing a bright fringe. A. As there is no gain or loss of energy, these phenomena are consistent with the principle of conservation of energy. B. Diffraction and interference are characteristics exhibited only by light waves. Choose the correct answer from the options given below:

    • a)A is false, but B is true
    • b)A is true and B is also true
    • c)A is true, but B is false
    • d)Both A and B are false
57. Q57.Electrostatics

    Five capacitors of capacitances \( ext{C}_1 = ext{C}_2 = ext{C}_3 = ext{C}_4 = 10 \mu ext{F}\) and \( ext{C}_5 = 2.5 \mu ext{F}\) are connected as shown along with a battery of \(50 ext{ V}\). The equivalent capacitance and the charges on each capacitor respectively are:

    • a)\(5 \mu ext{F}\), \(125 \mu ext{C}\) on \( ext{C}_1\) to \( ext{C}_4\) and \(25 \mu ext{C}\) on \( ext{C}_5\)
    • b)\(4 \mu ext{F}\), \(250 \mu ext{C}\) on \( ext{C}_1\) to \( ext{C}_4\) and \(125 \mu ext{C}\) on \( ext{C}_5\)
    • c)\(5 \mu ext{F}\), \(250 \mu ext{C}\) on all capacitors
    • d)\(5 \mu ext{F}\), \(125 \mu ext{C}\) on all capacitors
58. Q58.Oscillations

    For a simple pendulum, having time period \( ext{T}\), the variation of kinetic energy (\( ext{K.E.}\)) with time (\( ext{t}\)) is represented by:

    • a)A graph showing K.E. starting at 0, peaking at T/4, 0 at T/2, then negative, and back to 0 at T.
    • b)A graph showing K.E. starting at 0, peaking at T/4, 0 at T/2, peaking at 3T/4, and returning to 0 at T.
    • c)A graph showing K.E. as a constant non-zero value.
    • d)A graph showing K.E. as a sine wave shifted upwards, starting above 0, dipping to a minimum at T/4, and peaking at T/2.
59. Q59.Current Electricity

    A room heater is rated \(400 ext{ W}\), \(220 ext{ V}\). If the supply voltage drops to \(200 ext{ V}\), what will be the power consumed (approximately)?

    • a)\(121 ext{ W}\)
    • b)\(200 ext{ W}\)
    • c)\(400 ext{ W}\)
    • d)\(331 ext{ W}\)
60. Q60.Modern Physics

    Match List I with List II: **List I** A. \(E = h\nu\) B. Diffraction and Interference C. \(\lambda = h/p\) D. Compton effect **List II** I. de Broglie wavelength II. Particle nature of light III. Wave nature of light IV. Energy of photon Choose the correct answer from the options given below:

    • a)(1) A-IV, B-I, C-II, D-III
    • b)(2) A-I, B-IV, C-II, D-II
    • c)(3) A-IV, B-III, C-II, D-I
    • d)(4) A-IV, B-III, C-I, D-II
61. Q61.Alternating Current

    The peak value of an alternating current is \(5 ext{ A}\) and frequency is \(60 ext{ Hz}\). How long will the current, starting from zero, take to reach the peak value?

    • a)\(rac{1}{60} ext{ s}\)
    • b)\(rac{1}{240} ext{ s}\)
    • c)\(rac{1}{30} ext{ s}\)
    • d)\(rac{1}{120} ext{ s}\)
62. Q62.Electrostatics

    Which of the following statements are correct? A. Inside a conductor, the electrostatic field is zero. B. Electric field at the surface of a charged conductor does not depend on its surface charge density. C. The interior of a charged conductor can have no excess charge in the static situation. D. At the surface of a charged conductor, the electrostatic field must be normal to the surface at every point. E. The electrostatic potential is zero everywhere inside a charged conductor. Choose the correct answer from the options given below:

    • a)A, C and D only
    • b)A, C and E only
    • c)C, D and E only
    • d)A, B and D only
63. Q63.Electromagnetic Waves

    Match List I with List II : List I (Electromagnetic wave) A. Microwave B. Visible light C. Gamma rays D. Infra-red rays List II (Production) I. Electrons in atoms emit light when they move from a higher energy level to a lower energy level II. Radioactive decay of nucleus III. Vibration of atoms and molecules IV. Klystron valve or magnetron valve Choose the correct answer from the options given below:

    • a)A-III, B-I, C-II, D-IV
    • b)A-III, B-IV, C-I, D-II
    • c)A-IV, B-I, C-II, D-III
    • d)A-IV, B-III, C-II, D-I
64. Q64.Electric Circuits

    A uniform metallic wire having resistance \(4 \, \Omega\) is bent to form a square loop (ABCD) (see figure). A resistance of \(2 \, \Omega\) is connected between points B and D and a battery of \(2 \, V\) is connected across points A and C as shown in the figure. Now the value of current (I) is :

    • a)\(4 \, A\)
    • b)\(8 \, A\)
    • c)\(4.5 \, A\)
    • d)\(2 \, A\)
65. Q65.Nuclear Physics

    An unknown nucleus has a nuclear density of \(2.29 \times 10^{17} \, \text{kg/m}^3\) and mass of \(19.926 \times 10^{-27} \, \text{kg}\). Its mass number A is approximately : (Take \(R_0 = 1.2 \times 10^{-15} \, \text{m}\), \(4\pi = 12.56\))

    • a)12
    • b)16
    • c)19
    • d)20
66. Q66.Properties of Matter

    Match List I with List II : List I A. Young's Modulus B. Compressibility C. Bulk Modulus D. Poisson's Ratio List II I. \(\frac{\Delta d}{d} \bigg/ \frac{\Delta L}{L}\) II. \(\frac{F/A}{\Delta L/L}\) III. \(\frac{\Delta P}{\Delta V/V}\) IV. \(-\frac{1}{\Delta P / (\Delta V/V)}\) Choose the correct answer from the options given below:

    • a)A-II, B-III, C-IV, D-I
    • b)A-III, B-II, C-I, D-IV
    • c)A-I, B-IV, C-III, D-II
    • d)A-IV, B-I, C-II, D-III
67. Q67.Classical Mechanics

    The magnitude and direction of the acceleration produced in a body of mass \(5\, \text{kg}\) when two mutually perpendicular forces \(8\, \text{N}\) and \(6\, \text{N}\) act on it, are respectively:

    • a)(1) \(2\, \text{m s}^{-2}\), \(\tan^{-1} (4/3)\) with \(8\, \text{N}\) force
    • b)(2) \(2\, \text{m s}^{-2}\), \(\tan^{-1} (3/4)\) with \(8\, \text{N}\) force
    • c)(3) \(2\, \text{m s}^{-2}\), \(\tan^{-1} (3/4)\) with \(6\, \text{N}\) force
    • d)(4) \(2\, \text{m s}^{-2}\), \(\tan^{-1} (4/3)\) with \(8\, \text{N}\) force
68. Q68.Energy & Motion

    The sum of kinetic energy and potential energy of a simple pendulum bob is \(0.02\, \text{joule}\). The speed of the simple pendulum bob at equilibrium position is approximately: (Consider mass of the bob \(= 80\, \text{g}\))

    • a)(1) \(14.1\, \text{m/s}\)
    • b)(2) \(1.41\, \text{m/s}\)
    • c)(3) \(2.0\, \text{m/s}\)
    • d)(4) \(0.2\, \text{m/s}\)
69. Q69.

    A box of mass \(15\, \text{kg}\) is kept on the floor of a stationary trolley. The coefficient of static friction between the box and the trolley is \(0.12\). Keeping the box 'in' stationary state over the trolley, the maximum acceleration with which the trolley can be moved horizontally in \(\text{m s}^{-2}\) is: (\(g = 10\, \text{m/s}^2\))

    • a)(1) \(1.2\)
    • b)(2) \(1.8\)
    • c)(3) \(1.5\)
    • d)(4) \(2.1\)
70. Q70.Physics Principles

    The speed of light in vacuum is taken as unity. If light takes 6 min, 40 s to reach the Earth from the Sun, the distance between the Sun and the Earth in new unit is :

    • a)500
    • b)\(3 \times 10^8\)
    • c)400
    • d)\(3 \times 10^{10}\)
71. Q71.Physics - Modern Physics

    A bulb is rated at 150 watt, converting 8% energy into light. If energy of one photon is \(4.42 \times 10^{-19} \text{ J}\), how many photons are emitted by the bulb per second?

    • a)\(1.35 \times 10^{19}\)
    • b)\(2.71 \times 10^{19}\)
    • c)\(27.2 \times 10^{19}\)
    • d)\(4.06 \times 10^{19}\)
72. Q72.Basic Electronics

    In the circuit shown below, the voltage appearing across the diode D will be of the form :

    • a)Graph showing a full-wave rectified output (two positive peaks per cycle).
    • b)Graph showing a half-wave rectified output (positive half cycle only).
    • c)Graph showing a half-wave rectified output (negative half cycle only).
    • d)Graph showing a complete sine wave.
73. Q73.

    A particle of mass M moves along a horizontal x-axis from x=0 to x=L. The coefficient of kinetic friction varies as a function of x as \(\mu_k(x) = \mu_0 - \alpha x\) where \(\mu_0\) are constants of appropriate dimensions, so that \(\mu_k(L)=0\). The total work done by the frictional force during the motion is \(\mu_k M g L\), where g is the acceleration due to gravity. The value of n is:

    • a)1
    • b)2
    • c)3
    • d)1/2
74. Q74.

    Water flows in a streamline motion through a horizontal pipe of circular cross-section as shown in the figure. The pressure difference of water between P and Q is \(15 \, \text{Nm}^{-2}\). The area of cross-section at P and Q are \(40 \, \text{cm}^2\) and \(20 \, \text{cm}^2\), respectively. The rate of flow of water through the pipe, in \(\text{cm}^3 \, \text{s}^{-1}\), is: [Take density of water = \(1000 \, \text{kg m}^{-3}\)]

    • a)100
    • b)200
    • c)300
    • d)400
75. Q75.Electromagnetism

    A current \(I_0\) flows through a metallic circular loop of radius \(r\) as shown in the figure. Resistance of the segment ABC is half that of ADC. Magnitude of magnetic field at the center O of the loop is:

    • a)\(\frac{\mu_0 I_0}{12r}\)
    • b)\(\frac{\mu_0 I_0}{4\pi r}\)
    • c)\(\frac{\mu_0 I_0}{2r}\)
    • d)\(\frac{\mu_0 I_0}{2\pi r}\)
76. Q76.Fluid Mechanics

    In the measurement of viscosity of liquids using terminal velocity experiment, spherical balls of same radius but having different densities are used. The variation of the terminal velocity \((v)\) with the ratio of spherical ball \((e)\) to density of the liquid \((p)\), is best represented by:

    • a)A graph with y-axis 'v' and x-axis 'e/p'. It shows a straight line passing through the origin with a positive slope.
    • b)A graph with y-axis 'v' and x-axis 'e/p'. It shows a straight line with a positive slope, intersecting the y-axis above the origin.
    • c)A graph with y-axis 'v' and x-axis 'e/p'. It shows a curve starting from the origin, resembling a parabola.
    • d)A graph with y-axis 'v' and x-axis 'e/p'. It shows a horizontal line at v=1.
77. Q77.Gravitation

    Two planets \(P_1\) and \(P_2\) with equal mass have radii \(R_1\) and \(R_2\), respectively, where \(R_1 = R_2 = 2\). The escape speeds of \(P_1\) and \(P_2\) are \(v_1\) and \(v_2\), respectively. Then \(\frac{v_2}{v_1}\) is:

    • a)\(\frac{1}{\sqrt{2}}\}
    • b)1
    • c)\(\sqrt{2}\)
    • d)2
78. Q78.Planetary motion

    In a solar system, the time-period of revolution of a planet tracing a circular orbit of radius R is proportional to :

    • a)\(R^{1/2}\)
    • b)\(R^{3/2}\)
    • c)\(R^2\)
    • d)\(R^3\)
79. Q79.Electromagnetic Forces

    Two infinitely long parallel conducting wires A and B carry currents \(I\) and \(2I\), respectively, in the same direction. The wire A has uniform mass per unit length \(\lambda\) and lies on an insulated floor. The wire B is kept fixed at a height \(h\) above the floor. The minimum magnitude of current in the wire A so that the wire A does not rise from the floor is: [\(g\) is the acceleration due to gravity, \(\mu_0\) is the permeability of free space.]

    • a)\(\frac{\mu_0 I^2}{2\pi h g}\)
    • b)\(\frac{\mu_0 I^2}{\pi h g}\)
    • c)\(\frac{2\mu_0 I^2}{\pi h g}\)
    • d)\(\frac{4\mu_0 I^2}{\pi h g}\)
80. Q80.Electronics Physics

    An ideal Zener diode with breakdown voltage of \(-3 \, \text{V}\) is reverse biased with a negative input voltage \(V_i = -5 \, \text{V}\). The magnitude of voltage difference between points B and A is:

    • a)\(3 \, \text{V}\)
    • b)\(2 \, \text{V}\)
    • c)\(1 \, \text{V}\)
    • d)\(0 \, \text{V}\)
81. Q81.Thermodynamics

    In an adiabatic expansion, the temperature of one mole of an ideal monatomic gas (\(\gamma = 5/3\)) decreases from \(60 \, \text{K}\) to \(50 \, \text{K}\). The work done by the gas in the process is: [Take the universal gas constant as \(R = 8.3 \, \text{J} \, \text{mol}^{-1} \, \text{K}^{-1}\)]

    • a)\(41.5 \, \text{J}\)
    • b)\(83 \, \text{J}\)
    • c)\(124.5 \, \text{J}\)
    • d)\(166 \, \text{J}\)
82. Q82.Photoelectric Effect

    A ray of light with wavelength \(\lambda\) is incident on three different photo-electric cells namely 1, 2 and 3. The threshold wavelength of these photo-electric cells are \(\lambda_1\), \(\lambda_2\) and \(\lambda_3\), respectively and the magnitude of stopping potentials of these cells are \(V_1\), \(V_2\) and \(V_3\) respectively. The relation between \(\lambda\) and threshold wavelengths are \(\lambda_1 < \lambda\), \(\lambda_2 = \lambda\) and \(\lambda_3 > \lambda\). The correct option is:

    • a)\(V_1 = 0, V_2 < V_3\)
    • b)\(V_1 = 0, V_2 > V_3\)
    • c)\(V_1 > V_2, V_3 = 0\)
    • d)\(V_1 < V_2, V_3 = 0\)
83. Q83.Modern Physics

    A photon and an electron, each of \(20\) eV energy, move in free space. The ratio of linear momentum of electron \(P_e\) to that of photon \(P_{ph}\) is: (Take speed of light \(=3\times10^8\) \(\text{ms}^{-1}\), charge of electron \(=-1.6\times10^{-19}\) C and mass of electron \(=9\times10^{-31}\) kg)

    • a)\( \frac{1}{450} \)
    • b)\( \frac{1}{250} \)
    • c)225
    • d)275
84. Q84.Kinetic Theory

    The mean free path of molecules in an ideal gas A is half that of another ideal gas B. The diameter of the spherical molecules of gas A is twice the diameter of the molecules of B. If number densities of the gases A and B are \(n_A\) and \(n_B\) respectively, then the correct option is:

    • a)\(n_A = n_B\)
    • b)\(n_A = 2n_B\)
    • c)\(n_A = \frac{1}{4} n_B\)
    • d)\(n_A = \frac{1}{2} n_B\)
85. Q85.Experimental Physics

    Which of the following measurements require 'index correction'?

    • a)Measurement of resistance of a wire using meter bridge
    • b)Measurement of gravitational acceleration using simple pendulum
    • c)Measurement of focal length of lenses using optical bench
    • d)Measurement of speed of sound using resonance tube
86. Q86.Electrostatics

    A unit positive point charge is taken slowly through an infinitesimally thin tube that is inside a charged dielectric sphere of radius \(R\), having uniform positive charge density \(\rho\), as shown in the figure. The initial and final positions of the charge are marked by A and B at distances \(2R\) and \(3R\) respectively, from the centre of the sphere. In this process, the magnitude of the total work done on the point charge is \(\frac{\rho R^2}{\epsilon_0} n_0\). The value of \(n\) is: (\(\epsilon_0\) is the permittivity of vacuum)

    • a)2
    • b)6
    • c)9
    • d)18
87. Q87.Optics

    Consider three media P, Q and R with refractive indices 1, 1.25, and 1.5, respectively. The medium Q having a thickness of 5 cm is placed between extended media P and R as shown in the figure. An object O is placed at the center of medium Q. If viewed from medium P near the normal direction, the apparent depth of O is \(h_1\). For similar observation from medium R, the apparent depth is \(h_2\). The value of \(|h_1-h_2|\), in cm, is:

    • a)0
    • b)1
    • c)2
    • d)3
88. Q88.Rotational Dynamics

    A frictionless circular wire of radius \(R\) is fixed on the horizontal plane. Two point particles of unit mass start moving simultaneously from point A (\(\theta=0\)) with identical uniform angular speeds in opposite directions, and meet again at point B (\(\theta=-\pi/2\)). During time, which of the following figures schematically represent the magnitude of the total linear momentum P of the system, as a function of \(\theta\)?

    • a)
    • b)
    • c)
    • d)
89. Q89.Thermal Physics

    The temperature of a metallic sphere of radius R is increased by a small amount \(\Delta T\). If the linear coefficient of thermal expansion of the metal is \(\alpha\), the approximate increase in the volume of the sphere is

    • a)\(2\pi R^3 \alpha \Delta T\)
    • b)\(3\pi R^3 \alpha \Delta T\)
    • c)\(4\pi R^3 \alpha \Delta T\)
    • d)\(6\pi R^3 \alpha \Delta T\)
90. Q90.Simple Harmonic Motion

    A cylindrical cork of uniform density floats in a liquid of density \(\rho_1\). If the cork is depressed slightly and released, it oscillates harmonically with time period T. If the same cork floats in another liquid of density \(\rho_2\), then the similar oscillation has time period \(2T\). The value of \(\rho_2/\rho_1\) is:

    • a)4
    • b)2
    • c)1/2
    • d)1/4
91. Q91.Measurement

    One main scale division of a Vernier calliper is equal to \(1\) mm and the number of divisions on the Vernier scale is \(10\). When both the jaws touch each other, the Vernier scale shifts in such a way that \(4^{th}\) Vernier division coincides with a division of the main scale. If this Vernier calliper measures the length of a wire to be \(1\) cm, the actual length of the wire is:

    • a)\(0.60\) cm
    • b)\(0.96\) cm
    • c)\(1.00\) cm
    • d)\(1.04\) cm
92. Q92.Electromagnetic Induction

    Two identical inductors are connected in two different configurations P and Q, where a time varying current \(I(t)\) is flowing, as shown in the figure. The induced emf between points a and b for configuration P is \(E_P\) and that for configuration Q is \(E_Q\). The ratio \(E_P/E_Q\) is: [Neglect the effect of mutual inductance.]

    • a)1/4
    • b)1/2
    • c)1
    • d)2
93. Q93.Current Electricity

    Consider two circuits, (A) and (B), each having two resistors. One of them has a positive temperature coefficient, and the other one has a negative temperature coefficient of resistance, α. While the coefficient α is shown in the figure. The current through these circuits are denoted by \(I_A\) and \(I_B\). At initial temperature \(t_0\), the resistance of the two resistors is \(R_0\). As the temperature is increased, the correct option that describes the variation of current in these circuits is:

    • a)\(I_A\) remains constant while \(I_B\) increases
    • b)\(I_A\) decreases while \(I_B\) increases
    • c)\(I_A\) increases while \(I_B\) decreases
    • d)both \(I_A\) and \(I_B\) remain constant
94. Q94.Units and Dimensions

    Consider that \(\sigma\), \(k_B\), \(b\) represent Stefan-Boltzmann constant, Boltzmann constant and Wien's displacement law constant, respectively. The dimension of \(\sigma k_B^4 b^3\) is:

    • a)\([L^{-1}T^{-1}K^{-2}] \)
    • b)\([LT^{-1}K^{-2}] \)
    • c)\([L^{-1}T^{-1}K^{-3}] \)
    • d)\([L^{-1}T K^{-4}] \)
95. Q95.Electromagnetic Waves

    An electromagnetic wave travelling in a lossless dielectric medium having a dielectric constant \(\epsilon_r=9\), has the electric field \(E_x = E_0 \sin(kz-2 imes 10^9 t)\) Vm\(^{-1}\), where \(E_0\) is the amplitude and \(k\) is the wave vector. Among the following options, the incorrect choice is:

    • a)The speed of the electromagnetic wave inside the medium is \(10^8\) ms\(^{-1}\)
    • b)The wavelength of the electromagnetic wave inside the medium is 300 m
    • c)The magnetic field is given by the relation \(B_y = rac{E_0}{V} \sin(kz-2\pi imes 10^9 t)\) where \(V\) is the speed of the electromagnetic wave inside the medium
    • d)The direction of propagation of the electromagnetic wave is along \(+z\) medium
96. Q96.Thermodynamics

    One mole of an ideal monatomic gas undergoes a cyclic process as shown in the figure. The total heat supplied to the gas is:

    • a)400 J
    • b)500 J
    • c)600 J
    • d)800 J
97. Q97.Waves and Sound

    For sound waves, if the number of nodes for the 5th harmonic of an open pipe is n and that for the 9th harmonic of the same pipe with one of its ends closed is m, the ratio \(\frac{n}{m}\) is:

    • a)1/5
    • b)9/5
    • c)1
    • d)3/5
98. Q98.Atomic structure

    Consider that an electron is revolving in an excited state of Hydrogen atom with velocity \(\sqrt{25.6 imes 10^5}\) ms\(^{-1}\). The radius of the orbit is \(x imes 10^{-9}\) m. The value of \(x\) is: [Take the mass of electron to be \(9 imes 10^{-31}\) kg, charge of electron \(= -1.6 imes 10^{-19}\) C and \(rac{1}{4\pi\epsilon_0} = 9 imes 10^9\) N m\(^2\) C\(^{-2}\)]

    • a)1
    • b)2
    • c)3
    • d)4
99. Q99.Circular motion

    A car travels on a circular racetrack of radius 50 m, which is banked at an angle \( heta\). If the car travels at a speed 10 ms\(^{-1}\), then the wear and tear on its tyres is minimum. Taking the acceleration due to gravity to be 10 ms\(^{-2}\), the value of \( heta\) is:

    • a)\( an^{-1}\left(rac{1}{5} ight)\)
    • b)\( an^{-1}\left(rac{1}{2} ight)\)
    • c)\( an^{-1}\left(\sqrt{3}/2 ight)\)
    • d)\( an^{-1}\left(2\sqrt{3} ight)\)
100. Q100.Semiconductor devices

     Three identical p-n junction diodes \(D_1\), \(D_2\) and \(D_3\) are connected across a battery as shown in the figure. If the width of the depletion regions of \(D_1\), \(D_2\) and \(D_3\) are \(W_1\), \(W_2\) and \(W_3\) respectively, then the correct option is:

     • a)\(W_1 > W_2 > W_3\)
     • b)\(W_3 = W_1 > W_2\)
     • c)\(W_3 > W_2 > W_1\)
     • d)\(W_2 > W_1 = W_3\)
101. Q101.Electromagnetic spectrum

     The following table presents the part of the electromagnetic spectrum and their corresponding major applications. The correct option is:

     • a)P-I, Q-II, R-III, S-IV
     • b)P-I, Q-IV, R-II, S-III
     • c)P-II, Q-I, R-IV, S-III
     • d)P-II, Q-IV, R-III, S-I
102. Q102.Collisions and energy

     Bob \(B\) of mass \(m\) at rest is hanging vertically from the ceiling via a massless string of length 10 m, as shown in the figure. Point mass \(A\) of mass \(m\) travelling horizontally with speed 10 ms\(^{-1}\) hits bob \(B\) elastically. The bob \(B\) rises \(h\) meter after the collision. Taking the acceleration due to gravity \(g=10\) ms\(^{-2}\) and neglecting the size of the bob, the value of \(h\) is:

     • a)8
     • b)7
     • c)5
     • d)2.5
103. Q103.Thermodynamics of gases

     An ideal gas is made of polyatomic molecules. Each of the molecules has three translational, three rotational and \(f\) number of vibrational modes. If the ratio of heat capacities \( ext{C}_ ext{p}/ ext{C}_ ext{v}\) of the gas is 8/7, then the value of \(f\) is:

     • a)4
     • b)3
     • c)2
     • d)1
104. Q104.Electromagnetism

     Consider a long solenoid of length \(l\) and radius \(r\). If n is the number of turns per unit length and \(\mu_0\) is the permeability of free space, the inductance of the solenoid is:

     • a)\(\mu_0 \pi r^2 n^2 l\)
     • b)\(\mu_0 n^2 r^2 l\)
     • c)\((\mu_0/2\pi)n^2 r^2 l\)
     • d)\(2\mu_0 \pi r^2 n^2 l\)
105. Q105.Mechanics

     Consider a particle moving along a straight line, whose position as a function of time is given by \(s(t)=\alpha t^2 - \beta t + \gamma\), where \(\alpha=1\) \(\text{ms}^{-2}\), \(\beta=6\) \(\text{ms}^{-1}\) and \(\gamma=5\) m. The average speed of the particle, in \(\text{ms}^{-1}\) from \(t=0\) to \(t=6\) s is:

     • a)3
     • b)6
     • c)12
     • d)0
106. Q106.Thermodynamics

     Consider the reversible processes for 1.0 mol of an ideal gas as shown in the figure. \(\mathrm{w_1, w_2, w_3}\) and \(\mathrm{w_4}\) represent work done (in calories) in the processes 1, 2, 3 and 4, respectively. \(\mathrm{\Delta U_2}\) and \(\mathrm{\Delta U_4}\) are changes in the internal energy for the processes 2 and 4, respectively. [use R = 2 cal K\(^{-1}\) mol\(^{-1}\)] The correct option is

     • a)\(\mathrm{w_1 + w_3 = -2T_1ln\frac{V_2}{V_1} - 2T_2ln\frac{V_4}{V_3}}\)
     • b)\(\mathrm{w_2 + w_4 = \Delta U_2 - \Delta U_4}\)
     • c)\(\mathrm{w_1 + w_2 = 2T_1ln\frac{V_2}{V_1}}\)
     • d)\(\mathrm{w_1 + w_2 + w_3 + w_4 = 0}\)
107. Q107.Nuclear reactions

     Consider the following nuclear reaction: \(\ce{^{238}_{92}U -> ^{234}_{90}Th + ^4_2He}\). Take masses of \(\ce{^{238}_{92}U}\), \(\ce{^{234}_{90}Th}\) and \(\ce{^4_2He}\) as 238.050 u, 234.043 u and 4.003 u, respectively. The Q value for the reaction, in keV, is: [Given: 1 u = 931.5 \(\text{MeV c}^{-2}\)]

     • a)3726
     • b)3730
     • c)3736
     • d)3740
108. Q108.Photoelectric Effect

     A beam of light falls on a metal surface such that photo-electrons are generated. If power of the light source starts to decrease linearly with time t, then variation of the photocurrent I and magnitude of the stopping potential |V| with time is best represented by:

     • a)Graph of I vs t (linear decrease) and |V| vs t (constant)
     • b)Graph of I vs t (linear decrease) and |V| vs t (linear decrease)
     • c)Graph of I vs t (linear decrease) and |V| vs t (constant)
     • d)Graph of I vs t (constant) and |V| vs t (linear decrease)
109. Q109.Capacitors in Circuits

     Three identical capacitances P, Q and S, each of the capacitance C, are connected to a battery of voltage V, as shown in the figure. If the energy stored in the capacitor P is \(U_P\) and total energy stored in the system are \(U_T\) respectively, then the ratio \(\frac{U_P}{U_T}\) is:

     • a)2/3
     • b)1/3
     • c)1/2
     • d)1/6
110. Q110.Mechanics

     A ball of mass 0.5 kg is dropped from a height of 40 m. The ball hits the ground and rises to a height of 10 m. The impulse imparted to the ball during its collision with the ground is (Take \(g = 9.8\ m/s^2\))

     • a)21 Ns
     • b)7 Ns
     • c)0
     • d)84 Ns
111. Q111.Electrical Circuits

     AB is a part of an electrical circuit (see figure). The potential difference “\(V_A - V_B\)”, at the instant when current \(i = 2\) A and is increasing at a rate of 1 amp/second is:

     • a)5 volt
     • b)6 volt
     • c)9 volt
     • d)10 volt
112. Q112.Electromagnetism

     A 2 amp current is flowing through two different small circular copper coils having radii ratio 1:2. The ratio of their respective magnetic moments will be

     • a)1:4
     • b)1:2
     • c)2:1
     • d)4:1
113. Q113.Optics

     In a certain camera, a combination of four similar thin convex lenses are arranged axially in contact. Then the power of the combination and the total magnification in comparison to the power (\(p\)) and magnification (\(m\)) for each lens will be, respectively—

     • a)\(4p\) and \(4m\)
     • b)\(p^4\) and \(4m\)
     • c)\(4p\) and \(m^4\)
     • d)\(p^4\) and \(m^4\)
114. Q114.Thermodynamics

     An oxygen cylinder of volume 30 litre has 18.20 moles of oxygen. After some oxygen is withdrawn from the cylinder, its gauge pressure drops to 11 atmospheric pressure at temperature \(27^{\circ}\text{C}\). The mass of the oxygen withdrawn from the cylinder is nearly equal to : [Given, \(R = \frac{100}{12} J\ mol^{-1} K^{-1}\), and molecular mass of \ce{O2} = 32, 1 atm pressure = \(1.01 \times 10^5 N/m^2\)]

     • a)0.125 kg
     • b)0.144 kg
     • c)0.116 kg
     • d)0.156 kg
115. Q115.Calculus in kinematics

     In some appropriate units, time (\(t\)) and position (\(x\)) relation of a moving particle is given by \(t = x^2 + x\). The acceleration of the particle is

     • a)\(-\frac{2}{(x+2)^3}\)
     • b)\(-\frac{2}{(2x+1)^3}\)
     • c)\(+\frac{2}{(x+1)^3}\)
     • d)\(+\frac{2}{2x+1}\)
116. Q116.Alternating current

     To an ac power supply of 220 V at 50 Hz, a resistor of \( ext{20 \(\Omega\)}\), a capacitor of reactance \( ext{25 \(\Omega\)}\) and an inductor of reactance \( ext{45 \(\Omega\)}\) are connected in series. The corresponding current in the circuit and the phase angle between the current and the voltage is, respectively:

     • a)7.8 A and \(30^\circ\)
     • b)7.8 A and \(45^\circ\)
     • c)15.6 A and \(30^\circ\)
     • d)15.6 A and \(45^\circ\)
117. Q117.Rotational Motion

     The Sun rotates around its centre once in 27 days. What will be the period of revolution if the Sun were to expand to twice its present radius without any external influence? Assume the Sun to be a sphere of uniform density.

     • a)100 days
     • b)105 days
     • c)115 days
     • d)108 days
118. Q118.

     A model for quantized motion of an electron in a uniform magnetic field \(B\) states that the flux passing through the orbit of the electron is \(n(h/e)\) where \(n\) is an integer, \(h\) is Planck's constant and \(e\) is the magnitude of electron's charge. According to the model, the magnetic moment of an electron in its lowest energy state will be (\(m\) is the mass of the electron)

     • a)\(rac{he}{\pi m}\)
     • b)\(rac{he}{2\pi m}\)
     • c)\(rac{heB}{\pi m}\)
     • d)\(rac{heB}{2\pi m}\)
119. Q119.

     Three identical heat conducting rods are connected in series as shown in the figure. The rods on the sides have thermal conductivity \(2K\) while that in the middle has thermal conductivity \(K\). The left end of the combination is maintained at temperature \(3T\) and the right end at \(T\). The rods are thermally insulated from outside. In steady state, temperature at the left junction is \(T_1\) and that at the right junction is \(T_2\). The ratio \(T_1/T_2\) is:

     • a)\(rac{3}{2}\)
     • b)\(rac{4}{3}\)
     • c)\(rac{5}{3}\)
     • d)\(rac{5}{4}\)
120. Q120.

     The plates of a parallel plate capacitor are separated by \(d\). Two slabs of different dielectric constant \(K_1\) and \(K_2\) with thickness \(rac{3}{8}d\) and \(rac{d}{2}\), respectively are inserted in the capacitor. Due to this, the capacitance becomes two times larger than when there is nothing between the plates. If \(K_1 = 1.25\, K_2\), the value of \(K_1\) is:

     • a)2.66
     • b)2.33
     • c)1.60
     • d)1.33
121. Q121.

     Two cities \(X\) and \(Y\) are connected by a regular bus service with a bus leaving in either direction every \(T\) min. A girl is driving scooty with a speed of 60 km/h in the direction \(X\) to \(Y\) notices that a bus goes past her every 30 minutes in the direction of her motion, and every 10 minutes in the opposite direction. Choose the correct option for the period \(T\) of the bus service and the speed (assumed constant) of the buses.

     • a)9 min, 40 km/h
     • b)25 min, 100 km/h
     • c)10 min, 90 km/h
     • d)15 min, 120 km/h
122. Q122.

     A uniform rod of mass 20 kg and length 5 m leans against a smooth vertical wall making an angle of \(60^\circ\) with it. The other end rests on a rough horizontal floor. The friction force that the floor exerts on the rod is: (take \(g = 10 \text{ m/s}^2\))

     • a)100 N
     • b)\( ext{100\(\sqrt{3}\) N}\)
     • c)200 N
     • d)\( ext{200\(\sqrt{3}\) N}\)
123. Q123.

     In an oscillating spring mass system, a spring is connected to a box filled with sand. As the box oscillates, sand leaks slowly out of the box vertically so that the average frequency \(\omega(t)\) and average amplitude \(A(t)\) of the system change with time \(t\). Which one of the following options schematically depicts these changes correctly?

     • a)\(\omega(t)\) increases, \(A(t)\) is constant
     • b)\(\omega(t)\) increases, \(A(t)\) decreases
     • c)\(\omega(t)\) decreases, \(A(t)\) increases
     • d)\(\omega(t)\) decreases, \(A(t)\) decreases
124. Q124.

     A balloon is made of a material of surface tension \(S\) and its inflation outlet (from where gas is filled in it) has small area \(A\). It is filled with a gas of density \( ho\) and takes a spherical shape of radius \(R\). When the gas is allowed to flow freely out of it, its radius \(r\) changes from \(R\) to 0 (zero) in time \(T\). If the speed \(v(r)\) of gas coming out of the balloon depends on \(r\) as \(r^a\) and \(T \propto S^{\alpha} A^{eta} ho^{\gamma} R^{\delta}\) then

     • a)\(rac{1}{2}, \alpha = -rac{1}{2}, eta = -1, \gamma = +1, \delta = rac{3}{2}\)
     • b)\(a = -rac{1}{2}, \alpha = -rac{1}{2}, eta = -1, \gamma = -rac{1}{2}, \delta = rac{5}{2}\)
     • c)\(a = -rac{1}{2}, \alpha = -rac{1}{2}, eta = -1, \gamma = -rac{1}{2}, \delta = rac{7}{2}\)
     • d)\(a = rac{1}{2}, \alpha = rac{1}{2}, eta = -rac{1}{2}, \gamma = -rac{1}{2}, \delta = rac{7}{2}\)
125. Q125.

     Consider the diameter of a spherical object being measured with the help of a Vernier callipers. Suppose its 10 Vernier Scale Divisions (V.S.D.) are equal to its 9 Main Scale Divisions (M.S.D.). The least division in the M.S. is 0.1 cm and the zero of V.S. is at \(x = 0.1\) cm when the jaws of Vernier callipers are closed. If the main scale reading for the diameter is \(M = 5\) cm and the number of coinciding vernier division is 8, the measured diameter after zero error correction, is:

     • a)5.18 cm
     • b)5.08 cm
     • c)4.98 cm
     • d)5.00 cm
126. Q126.

     A parallel plate capacitor made of circular plates is being charged such that the surface charge density on its plates is increasing at a constant rate with time. The magnetic field arising due to displacement current is:

     • a)zero at all places
     • b)constant between the plates and zero outside the plates.
     • c)non-zero everywhere with maximum at the imaginary cylindrical surface connecting peripheries of the plates.
     • d)zero between the plates and non-zero outside.
127. Q127.

     An unpolarized light beam travelling in air is incident on a medium of refractive index 1.73 at Brewster's angle. Then-

     • a)reflected light is completely polarized and the angle of reflection is close to \(60^{\circ}\)
     • b)reflected light is partially polarized and the angle of reflection is close to \(30^{\circ}\)
     • c)both reflected and transmitted light are perfectly polarized with angles of reflection and refraction close to \(60^{\circ}\) and \(30^{\circ}\), respectively.
     • d)transmitted light is completely polarized with angle of refraction close to \(30^{\circ}\)
128. Q128.

     Two identical conducting spheres \(A\) and \(B\) have their centres separated by a certain distance. Charge on each sphere is \(q\) and the force of repulsion between them is \(F\). A third identical uncharged conducting sphere is brought in contact with sphere \(A\) first and then with \(B\) and finally removed from both. New force of repulsion between spheres \(A\) and \(B\) (Radii of \(A\) and \(B\) are negligible compared to the distance of separation so that for calculating force between them they can be considered as point charges) is best given as:

     • a)\(rac{3F}{5}\)
     • b)\(rac{2F}{3}\)
     • c)\(rac{F}{2}\)
     • d)\(rac{3F}{8}\)
129. Q129.

     A container has two chambers of volumes \(V_1 = 2\) litres and \(V_2 = 3\) litres separated by a partition made of a thermal insulator. The chambers contains \(n_1 = 5\) and \(n_2 = 4\) moles of ideal gas at pressures \(p_1 = 1\) atm and \(p_2 = 2\) atm, respectively. When the partition is removed, the mixture attains an equilibrium pressure of:

     • a)1.3 atm
     • b)1.6 atm
     • c)1.4 atm
     • d)1.8 atm
130. Q130.

     A particle of mass \(m\) is moving around the origin with a constant force \(F\) pulling it towards the origin. If Bohr model is used to describe its motion, the radius \(r\) of the \(n^ ext{th}\) orbit and the particle's speed \(v\) in the orbit depend on \(n\) as

     • a)\(r \propto n^{1/3}\); \(v \propto n^{1/3}\)
     • b)\(r \propto n^{1/3}\); \(v \propto n^{2/3}\)
     • c)\(r \propto n^{2/3}\); \(v \propto n^{1/3}\)
     • d)\(r \propto n^{4/3}\); \(v \propto n^{-1/3}\)
131. Q131.

     The radius of Martian orbit around the Sun is about 4 times the radius of the orbit of Mercury. The Martian year is 687 Earth days. Then which of the following is the length of 1 year on Mercury?

     • a)88 Earth days
     • b)225 Earth days
     • c)172 Earth days
     • d)124 Earth days
132. Q132.Gravitation

     A body weight 48 N on the surface of the earth. The gravitational force experienced by the body due to the earth at a height equal to one-third the radius of the earth from its surface is:

     • a)16 N
     • b)27 N
     • c)32 N
     • d)36 N
133. Q133.Current Electricity

     A wire of resistance \(R\) is cut into 8 equal pieces. From these pieces two equivalent resistances are made by adding four of these together in parallel. Then these two sets are added in series. The net effective resistance of the combination is:

     • a)\(rac{R}{64}\)
     • b)\(rac{R}{32}\)
     • c)\(rac{R}{16}\)
     • d)\(rac{R}{8}\)
134. Q134.Atomic Physics

     De-Broglie wavelength of an electron orbiting in the \(n = 2\) state of hydrogen atom is close to (Given Bohr radius = 0.052 nm)

     • a)0.067 nm
     • b)0.67 nm
     • c)1.67 nm
     • d)2.67 nm
135. Q135.Electrostatics

     An electric dipole with dipole moment \(5 imes 10^{-6}\) Cm is aligned with the direction of a uniform electric field of magnitude \(4 imes 10^5\) N/C. The dipole is then rotated through an angle of \(60^\circ\) with respect to the electric field. The change in the potential energy of the dipole is:

     • a)0.8 J
     • b)1.0 J
     • c)1.2 J
     • d)1.5 J
136. Q136.Current Electricity

     A constant voltage of 50 V is maintained between the points \(A\) and \(B\) of the circuit shown in the figure. The current through the branch \(CD\) of the circuit is:

     • a)1.5 A
     • b)2.0 A
     • c)2.5 A
     • d)3.0 A
137. Q137.Modern Physics

     A photon and an electron (mass \(m\)) have the same energy \(E\). The ratio (\(\lambda_{ ext{photon}} / \lambda_{ ext{electron}}\)) of their de Broglie wavelengths is (\(c\) is the speed of light)

     • a)\(\sqrt{E / 2m}\)
     • b)\(c\sqrt{2mE}\)
     • c)\(c\sqrt{rac{2m}{E}}\)
     • d)\(rac{1}{c}\sqrt{E / 2m}\)
138. Q138.Modern Physics

     Which of the following options represent the variation of photoelectric current with property of light shown on the x-axis?

     • a)A only
     • b)A and C
     • c)A and D
     • d)B and D
139. Q139.Rotational Motion

     A sphere of radius R is cut from a larger solid sphere of radius 2R as shown in the figure. The ratio of the moment of inertia of the smaller sphere to that of the rest part of the sphere about the Y-axis is:

     • a)\(\frac{7}{8}\)
     • b)\(\frac{7}{40}\)
     • c)\(\frac{7}{57}\)
     • d)\(\frac{7}{64}\)
140. Q140.Thermodynamics

     Two gases A and B are filled at the same pressure in separate cylinders with movable pistons of radius \(r_A\) and \(r_B\), respectively. On supplying an equal amount of heat to both the systems reversibly under constant pressure, the pistons of gas A and B are displaced by 16 cm and 9 cm, respectively. If the change in their internal energy is the same, then the ratio \(r_A/ r_B\) is equal to

     • a)\(\frac{4}{3}\)
     • b)\(\frac{3}{4}\)
     • c)\(\frac{2}{\sqrt{3}}​\)
     • d)\(\frac{\sqrt{3}}{2}\)
141. Q141.Measurements & Errors

     A physical quantity \(P\) is related to four observations \(a, b, c\) and \(d\) as follows: \(P = a^3b^2 / c\sqrt{d}\) The percentage errors of measurement in \(a, b, c\) and \(d\) are 1%, 3%, 2%, and 4% respectively. The percentage error in the quantity \(P\) is

     • a)10%
     • b)2%
     • c)13%
     • d)15%
142. Q142.Wave Optics

     The intensity of transmitted light when a polaroid sheet, placed between two crossed polarization at 22.5\(^\circ\) from the polarization axis of one of the polaroid, is (\(I_0\) is the intensity or polarised light after passing through the first polaroid):

     • a)\(\frac{I_0}{2}\)
     • b)\(\frac{I_0}{4}\)
     • c)\(\frac{I_0}{8}\)
     • d)\(\frac{I_0}{16}\)
143. Q143.Oscillations & Waves

     Two identical point masses \(P\) and \(Q\), suspended from two separate massless springs of spring constants \(k_1\) and \(k_2\) respectively, oscillate vertically. If their maximum speeds are the same, the ratio (\(A_Q/A_P\)) of the amplitude \(A_Q\) of mass \(Q\) to the amplitude \(A_P\) of mass \(P\) is:

     • a)\(\frac{k_2}{k_1}\)
     • b)\(\frac{k_1}{k_2}\)
     • c)\(\sqrt{\frac{k_2}{k_1}}​\)
     • d)\(\sqrt{\frac{k_1}{k_2}}​\)
144. Q144.Sound Waves

     A pipe open at both ends has a fundamental frequency \(f\) in air. The pipe is now dipped vertically in a water drum to half of its length. The fundamental frequency of the air column is now equal to:

     • a)\(\frac{f}{2}\)
     • b)\(f\)
     • c)\(\frac{3f}{2}\)
     • d)\(2f\)
145. Q145.Digital Electronics

     The output (Y) of the given logic implementation is similar to the output of an/a ________ gate.

     • a)AND
     • b)NAND
     • c)OR
     • d)NOR
146. Q146.Electromagnetic Waves

     The electric field in a plane electromagnetic wave is given by \(E_x = 60 \cos (5x + 1.5 \times 10^9 t) V/m\). Then expression for the corresponding magnetic field is (here subscripts denote the direction of the field):

     • a)\(B_y = 2 \times 10^{-7} \cos (5x + 1.5 \times 10^9 t) T\)
     • b)\(B_x = 2 \times 10^{-7} \cos (5x + 1.5 \times 10^9 t) T\)
     • c)\(B_z = 60\cos (5x + 1.5 \times 10^9 t) T\)
     • d)\(B_y = 60\sin (5x + 1.5 \times 10^9 t) T\)