Physics CUET 2022

1. A thin conducting ring of radius R is given a charge +Q. The electric field at the centre O of the ring due to the charge on the part AKB of the ring is E. The electric field at the centre due to the charge on the part ACDB of the ring is 

(a) 3E along KO 

(b) E along OK 

(c) E along KO 

(d) 3E along OK

2. An interference pattern is observed by Young's double slit experiment. If now the separation between coherent sources is halved and the distance of screen from coherent sources is doubled, the new fringe width 

(a) becomes double. 

(b) becomes one-fourth. 

(c) remains the same. 

(d) becomes four times.

3. The electric potential at a point in free space due to a charge coulomb is Q × 10" V. The electric field at that point is 

(a) 4πɛ₀Q × 1022 Vm^-1 

(b) 12πɛ₀Q × 1020 Vm^-1 

(c) 4πɛ₀Q × 1020 Vm^-1 

4. In Young's double slit experiment, the intensity at a point is 1/4th of the maximum intensity. Angular position of this point is 

(a) sin^-1(λ/d)

(b) sin^-1(λ/2d)

(c) sin^-1(λ/3d)

5. A square surface of side L metres is in the plane of the paper. A uniform electric field E(V/m), also in the plane of the paper, is limited only to the lower half of the square surface (see figure). The electric flux in SI units associated with the surface is 

(a) EL²/(2ɛ₀)

(b) EL²/2  

(c) zero 

6. The refractive index of the material of an equilateral prism is √3. What is the angle of minimum deviation? 

(a) 45°

(b) 60° 

(c) 37° 

(d) 30°

7. A parallel plate air capacitor is charged to a potential difference of V volts. After disconnecting the charging battery, the distance between the plates of the capacitor increased using an insulating handle. As a result, the potential difference between the plates 

(a) decreases. 

(b) does not change.

(c) becomes zero.  

(d) increases.

8. We combine two lenses, one is convex and other is concave having focal lengths f1 and ƒ2 and their combined focal length is F. Combination of the lenses will behave like concave lens, if 

(a) f₁ > f₂

(b) f₁ = f₂ 

(c) f₁ < f₂  

9. A parallel plate capacitor is made by stacking n equally spaced plates connected alternatively. If the capacitance between any two adjacent plates is C, then the resultant capacitance is 

(a) (n − 1)C

(b) (n + 1)C

(c) C 

(d) nC

10. Energy of an electron in the second orbit of hydrogen atom is E and the energy of electron in 3rd orbit of He will be 

(a) E₃ =16E/3

(c) E₃ = 4E/9

(b) E₃ = 16E/9

11. A capacitor of 20 uF charged upto 500 V is connected in parallel with another capacitor of 10 μF which is charged upto 200 V. The common potential is 

(a) 250 V 

(b) 300 V

(c) 400 V 

(d) 600 V

12. The stopping potential V0 for photoelectric emission from a metal surface is plotted along the y-axis and frequency v of incident light along the x-axis. A straight line is obtained as shown. Planck's constant is given by 

(a) slope of the line. 

(b) product of the slope of the line and charge on electron. 

(c) intercept along y-axis divided by charge on the electron. 

(d) product of the intercept along x-axis and mass of the electron.

13. When a wire of uniform cross-section a, length L and resistance R is bent into a complete circle, resistance between two of diametrically opposite points will be 

(a) R/4 

(b) R/8 

(c) 4R 

(d) R/2

14. The wavelength of a photon needed to remove a proton from a nucleus which is bound to the nucleus with 1 MeV energy is nearly 

(a) 1.2 nm 

(b) 1.2 × 10^-3 nm 

(c). 1.2 x 10^-6 nm 

(d) 1.2 × 10¹ nm

15. In the circuit shown, the current through the 4 ohm resistor is 1 A when the points P and M are connected to a DC voltage source. The potential difference between the points M and N is 

(a) 1.5 V

(b) 1.0 V 

(c) 0.5 V

(d) 3.2 V

16. Energy equivalent of 1 g of substance is: 

(a) 6 × 10¹⁰ J

(b) 8 × 10¹³ J

(c) 9 × 10¹³ J 

(d) 10⁴ J

17. A fully charged capacitor has a capacitance C. It is discharged through a small coil of resistance wire embedded to a thermally insulated block of specific heat capacity s and mass m. If the temperature of the block is raised by AT, the potential difference (V) across the capacitance is 

(a) √2mC∆T/s

(b) √mC∆T/s

(c)  √ms∆T/C

(d)  √2ms∆T/C

18. The ionisation energy of electrons in a hydrogen atom is 13.6 eV. The energy required to remove electron from the second excited state is 

(a) -13.6 eV

(b) -1.51 eV

(c) 1.51 eV 

(d) - 3.4 eV

19. If the electric flux entering and leaving an enclosed surface respectively are Φ1, and Φ2, the electric charge inside the surface will be 

(a) Φ2 - Φι/Є₀

(b)  Φ2 + Φι/Є₀

(c)  Φ1 - Φ2/Є₀

(d)  Є₀(Φ1 + Φ2)

20. The largest wavelength in the UV region of the hydrogen spectrum is 122 nm. The smallest wavelength in the infrared region of the hydrogen spectrum is: 

(a) 802 nm 

(b) 823 nm 

(c) 1882 nm 

(d) 1648 nm

21. The electric field due to an electric dipole at a distance from its centre in axial position is E. If the dipole is rotated through an angle of 90° about its perpendicular axis, the electric field at the same point, will be 

(a) E  

(b) E/4

(c) E/2 

(d) 2E

22. The half-life of a radioactive nucleus is 3 hours. In 9 hours, its activity will be reduced to a factor of

(a) 1/9

(b) 1/27

(c) 1/6

(d) 1/8

23. Figure shows a circuit with known resistances R, R1 and R2. Neglect the internal resistance of the sources of current and resistance of the connecting wire. The magnitude of electromotive force E1, such that the current through the resistance R is zero, will be 

(a) E(R₁+R2)/R₂
(b) ER₂/R₁
(c) ER₁/R₂
(d) ER₁/(R₁+R₂)

24. A radioactive element has a half-life period 1600 years. After 6400 years what amount will remain? 

(a) 1/2
(b) 1/16
(c) 1/8
(d) 1/4

25. An electric current passes through a long straight wire. At a distance 5 cm from the wire, the magnetic field is B. The field at 20 cm from the wire would be 

(a) 2B

(b) B/4 

(c) B/2 

(d) B 

26. A 220 V AC supply is connected between points A and B (figure). What will be the potential difference V across the capacitor?

(a) 220 V

(b) 110 V

(c) 0 V 

(d) 220√2V

27. A long straight wire of radius a carries a steady current I. The current is uniformly distributed across its cross- section. The ratio of the magnetic field at a/2 and 2a is 

(a) 1/4
(b) 4
(c) 1
(d) 1/2

28. In a communication system, noise is most likely to affect the signal 

(a) in the information signal. 

(b) at the transmitter. 

(c) in the channel. 

(d) at the destination.

29. A solenoid 1.5 m long and 0.4 cm in diameter possesses 10 turns per cm length. A current of 5 A falls through it. The magnetic field at the axis inside the solenoid is 

(a) 2Π x 10^-3 T
(b) 2Π x 10^-5 T
(c) 4Π x 10^-2T
(d) 4Π x 10^-3 T

30. Ratio of the radii of the nuclei with mass numbers 8 and 27 would be 

(a) 27/8
(b) 8/27
(c) 2/3
(d) 3/2

31. When a charged particle moving with velocity v is subjected to a magnetic field of induction B, the force on it is non-zero. This implies that 

(a) angle between v and B is necessarily 90°. 

(b) angle between v and B can have any value other than 90°. 

(c) angle between v and B can have any value other than zero and 180°. 

(d) angle between v and B is either zero or 180°.

32. The effect due to uniform magnetic field on a freely suspended magnetic needle is as follows. 

(a) Both torque and net force are present. 

(b) Torque is present but no net force. 

(c) Both torque and net force are absent. 

(d) Net force is present but not torque.

33. In a circuit, L, C and R are connected in series with an alternating voltage source of frequency f. The current leads the voltage by 45°. The value of C is 

(a) 1/2πf(2πfL+R)
(b) 1/πf(2πfL+R)
(c) 1/2πf(2πfL-R)
(d) 1/πf(2πfL-R)

34. The figure shows three circuits with identical batteries, inductors and resistances. Rank the circuits according to the currents through the battery just after the switch is closed, greatest first. 

(a) i₂>i₃>i₁
(b) i₂>i₁>i₃
(c) i₁>i₂>i₃
(d) i₁>i₃>i₂

35. The electric and magnetic fields of an electromagnetic wave are 

(a) in phase and parallel to each other. 

(b) in opposite phase and perpendicular to each other.

(c) in opposite phase and parallel to each other. 

(d) in phase and perpendicular to each other.

36. If a magnet is suspended at angle of 30° to the magnetic meridian, the dip needle makes an angle of 45° with the horizontal. The real dip is 

(a) tan^-1⁡(√3/2)
(b) tan^-1⁡(√3)
(c) tan^-1⁡(3/√2)
(d) tan^-1⁡(2/√3)

37. A cylindrical bar magnet is kept along the axis of a circular coil. The magnet is rotated about its axis such that North pole faces the coil. The induced current in the coil 

(a) is zero. 

(b) is clockwise from magnet side. 

(c) may be clockwise or anti-clockwise: 

(d) is anti-clockwise from magnet side.

38. The power factor of an R-L circuit is 1/√2If the frequency of AC is doubled, what will be the power factor? 

(a) 1/√3
(b) 1/√5
(c) 1/√7
(d) 1/√11

39. The rms value of the electric field of the light coming from the sun is 720 NC^-1. The average total energy density of the electromagnetic wave is 

(a) 4.58×10^-6Jm^-3
(b) 6.37×10^-9Jm^-3
(c) 81.35×10^-12Jm^-3
(d) 3.3×10^-3Jm^-3

40. A small coin is resting on the bottom of a beaker filled with a liquid. A ray of light from the coin travels upto the surface of the liquid and moves along its surface (see figure).

How fast is the light travelling in the liquid? 

(a) 1.8×10⁸ ms^-1
(b) 2.4×10⁸ ms^-1
(c) 3.0×10⁸ ms^-1
(d) 1.2×10⁸ ms^-1

41. Two thin lenses of focal lengths, f₁ and f₂ are in contact and coaxial. The power of the combination is 

(a) √f₁/f₂
(b) √f₂/f₁
(c) √f₁-f₂/f₁f₂
(d) √f₁+f₂/f₁f₂ 

42. The angular resolution of a 10 cm diameter telescope at a wavelength of 5000 Å is of the order of

(a) 10⁶rad
(b) 10^-2rad
(c) 10^-4rad
(d) 10^-6rad

43. A wavefront is represented by the plane y = 3 - x. The propagation of wave takes place at:

(a) 45° with x-direction 

(b) 135° with x-direction 

(c) 60° with x-direction 

(d) No sufficient data

44. The first diffraction minimum due to single slit diffraction is θ, for a light of wavelength 5000 A. If the width of the slit is 1 x 10^-4 cm, then the value of 0 is 

(a) 30°

(b) 45°

(c) 60°

(d) 15°

45. If M(A,Σ),M_p, and M_n, denote the masses of the nucleus ²_AX, proton and neutron respectively in units of u(1u=931.5MeV/c²) and BE represents its binding energy in MeV, then

(a) M(A,Z)=ZM_p+(A-Z)M_n-BE/c²
(b) M(A,Z)=ZM_p+(A-Z)M_n+BE
(c) M(A,Z)=ZM_p+(A-Z)M_n-BE
(d) M(A,Z)=ZM_p+(A-Z)M_n+BE/c²

46. Zener diode is used for 

(a) producing oscillations in an oscillator. 

(b) amplification. 

(c) stabilisation. 

(d) rectification.

47. The input resistance of a common emitter transistor amplifier, if the output resistance is 500kΩ, the current gain α=0.98 and power gain is 6.0625×10⁶, is

(a) 198Ω
(b) 300Ω
(c) 100Ω
(d) 400Ω

48. Modulation is the process of superposing 

(a) low frequency audio signal on high frequency waves. 

(b) low frequency radio signal on low frequency audio waves. 

(c) high frequency radio signal on low frequency audio signal. 

(d) high frequency audio signal on low frequency radio waves.

49. The intensity of X-rays from a Coolidge tube plotted against wavelength as shown in the figure. T1 minimum wavelength found is λ_c and the wavelength of the K_α line is λ_k. As the accelerating voltage increased

(a) (λ_k-λ_c) increases.
(b) (λ_k-λ_c) decreases.
(c) λ_k increases.
(d) λ_k decreases.

50. On a particular day, the maximum frequency reflected from the ionosphere is 9 MHz. On another day, it was found to increase by 1 MHz. What is the ratio of the maximum electron densities of the ionosphere on the two days? 

(a) 1.23 

(b) 1.0 

(c) 1.43 

(d) 0.75