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JEE Exam

1. A car accelerates uniformly from rest to 20 m/s in 5 sec. The distance covered in the 3rd second is:
  • 16 m
  • 14 m
  • 12 m
  • 10 m
2. A block of mass 2 kg slides down a 30° incline with μ = 0.5. Its acceleration is:
  • 5.8 m/s25.8m/s2
  • 3.3 m/s23.3m/s2
  • 1.5 m/s21.5m/s2
  • 0.66 m/s20.66m/s2
3. The angular momentum of a particle moving in a circle is conserved if:
  • Torque is zero
  • Force is radial
  • Both (A) and (B)
  • None
4. Two capacitors C1=2μFC1=2μF and C2=4μFC2=4μF are charged to 100V and 200V respectively. When connected in parallel, the energy loss is:
  • 0.08 J
  • 0.02 J
  • 0.04 J
  • 0.01 J
5. A wire of resistance RR is bent into a circle. The resistance between two diametrically opposite points is:
  • 2R2R
  • RR
  • R/2R/2
  • R/4R/4
6. A proton enters a magnetic field at 30° with velocity vv. Its path is:
  • Helical
  • Parabolic
  • Circular
  • Straight line
7. The de Broglie wavelength of an electron accelerated by 100V is:
  • 0.012 nm
  • 12.2 nm
  • 1.22 nm
  • 0.122 nm
8. In a nuclear reaction, the mass defect is 0.2 amu. The energy released is:
  • 200 MeV
  • 931 MeV
  • 186 MeV
  • 18.6 MeV
9. A photon of energy 4 eV is incident on a metal with work function 2 eV. The stopping potential is:
  • 0 V
  • 6 V
  • 4 V
  • 2 V
10. A light wave travels from air (μ=1μ=1) to glass (μ=1.5μ=1.5). The ratio of wavelengths in air and glass is:
  • 2:1
  • 1.5:1
  • 1:1.5
  • 1:1
11. In Young’s double-slit experiment, if the slit width ratio is 1:4, the intensity ratio of maxima to minima is:
  • 16:1
  • 25:9
  • 4:1
  • 9:1
12. A sound wave has a frequency of 1 kHz and wavelength 34 cm. The speed of sound is:
  • 0.34 m/s
  • 3.4 m/s
  • 34 m/s
  • 340 m/s
13. An ideal gas expands isothermally from volume V1V1 to V2V2. The work done is:
  • P(V2−V1)P(V2−V1)
  • Zero
  • nRT(V2−V1)nRT(V2−V1)
  • nRTln⁡(V2/V1)nRTln(V2/V1)
14. A simple pendulum has a period TT on Earth. On the Moon (gmoon=g/6gmoon=g/6), its period is:
  • 6T6T
  • 6T6T (Since T∝1/gT∝1/g)
  • T/6T/6
  • TT
15. For a cyclic process, which is always true?
  • ΔU=0ΔU=0
  • ΔQ=ΔWΔQ=ΔW
  • Both (A) and (B)
  • None
16. A solid sphere rolls without slipping on an inclined plane at 30°. Its acceleration is:
  • g33g
  • 2g332g
  • 5g775g
  • g22g
17. A disc of mass MM and radius RR rolls down a rough incline. If angular acceleration is αα, the torque is:
  • 12MR2α21MR2α
  • 2MR2α2MR2α
  • 32MR2α23MR2α
  • MR2αMR2α
18. A coil of 100 turns has a flux change from 0.1 Wb to 0.2 Wb in 0.1 sec. The induced EMF is:
  • 0.1 V
  • 1 V
  • 100 V
  • 10 V
19. A conducting rod of length ll moves perpendicular to a magnetic field BB with velocity vv. The induced EMF is:
  • Zero
  • BlvBlv
  • B2lvB2lv
  • BlvvBl
20. In a p-n junction diode, the barrier potential decreases with:
  • Reverse bias
  • Increase in doping
  • Decrease in temperature
  • Increase in temperature
21. The output of a logic gate is 1 only when all inputs are 0. The gate is:
  • NAND
  • NOR
  • OR
  • AND
22. The escape velocity from Earth is veve. If Earth’s mass becomes 4 times, the new escape velocity is:
  • 4ve4ve
  • ve22ve
  • 2ve2ve
  • veve
23. A satellite orbits Earth at height hh. If its kinetic energy is KK, its potential energy is:
  • 2K2K
  • −2K−2K
  • KK
  • −K−K
24. A liquid flows through a pipe of varying diameter. If the speed is vv at a point where diameter is dd, its speed where diameter is 2d2d is:
  • 4v4v
  • 2v2v
  • v22v
  • v44v
25. A cube of side aa floats in water with 50% submerged. The density of the cube is:
  • 250 kg/m3250kg/m3
  • 500 kg/m3500kg/m3
  • 750 kg/m3750kg/m3
  • 1000 kg/m31000kg/m3
26. A ray of light passes from glass (μ=1.5μ=1.5) to water (μ=1.33μ=1.33). The critical angle is:
  • 90∘90∘
  • sin⁡−1(0.50)sin−1(0.50)
  • sin⁡−1(0.67)sin−1(0.67)
  • sin⁡−1(0.89)sin−1(0.89)
27. A spring-mass system has a period TT. If the spring is cut into two equal parts and connected in parallel, the new period is:
  • 2T2T
  • T22
  • T22T
  • TT
28. A circular loop of radius R carries current I. The magnetic field at its center is doubled when:
  • I is doubled and R is halved
  • I is kept constant and R is halved
  • Both I and R are doubled
  • I is halved and R is doubled
29. In an LR circuit with L = 2H, the current reaches 50% of max value in 2s. The resistance is:
  • 4 Ω
  • 1.386 Ω
  • 0.693 Ω
  • 2 Ω
30. A biconvex lens (μ=1.5) has radii 20cm each. Its power is:
  • 15D
  • 10D
  • 5D
  • 20D
31. In YDSE, when sodium light (λ=589nm) is replaced by LED (λ=420nm), the fringe width:
  • Decreases by 30%
  • Becomes zero
  • Remains same
  • Increases by 30%
32. An electron in H-atom jumps from n=4 to n=2. The wavelength of emitted light is:
  • 656 nm
  • 410 nm
  • 434 nm
  • 486 nm
33. The rest mass energy of electron is 0.51 MeV. Its KE when moving at 0.6c is:
  • 0.51 MeV
  • 0.38 MeV
  • 0.25 MeV
  • 0.13 MeV
34. For diatomic gas undergoing adiabatic process, the ratio ΔU/ΔW is:
  • 1
  • 2/5
  • -1
  • 5/2
35. Carnot engine works between 227°C and 27°C. Its efficiency is:
  • 80%
  • 40%
  • 60%
  • 20%
36. A particle moves along x-axis with velocity v = 3√x. Its acceleration at x=4m is:
  • 6 m/s²
  • 4.5 m/s²
  • 3 m/s²
  • 1.5 m/s²
37. A solid cylinder rolls up an incline at 30° with v=5m/s. The height reached is:
  • 2.50 m
  • 1.91 m
  • 1.25 m
  • 0.75 m
38. For Si diode, the barrier potential at 300K is 0.7V. When temperature increases by 10°C, the new barrier potential is:
  • 0.65 V
  • 0.70 V
  • 0.72 V
  • 0.68 V
39. In CE transistor amplifier, the phase difference between input and output is:
  • 90°
  • 180°
  • 270°
40. Three charges q, q, -q are placed at vertices of equilateral triangle. The dipole moment is:
  • √3ql
  • 2ql
  • √2ql
  • ql
41. A capacitor is charged to 100V and disconnected. When dielectric (K=2) is inserted, the new voltage is:
  • 25V
  • 200V
  • 100V
  • 50V
42. A standing wave has 3 nodes and 2 antinodes. The harmonic is:
  • 4th
  • 3rd
  • 2nd
  • Fundamental
43. The intensity level of sound increases by 10 dB when intensity increases by factor:
  • 1000
  • 100
  • 10
  • 1
44. In a meter bridge experiment, the balancing length is 40cm. The unknown resistance is:
  • 0.67Ω
  • 2/3Ω
  • 1.5Ω
45. The vernier constant of a caliper with 9 main scale divisions = 10 vernier divisions is:
  • 1 mm
  • 0.1 mm
  • 0.05 mm
  • 0.01 mm
46. The ratio of de Broglie wavelengths of proton (1 GeV) and electron (1 MeV) is:
  • 1/√2
  • 1/2
  • √2
  • 1
47. In nuclear fusion, if mass defect is 0.5%, the energy released from 1kg is:
  • 3.6×10¹⁴ J
  • 1.8×10¹⁴ J
  • 9×10¹³ J
  • 4.5×10¹³ J
48. A particle executes SHM with x = Asin(ωt + π/6). The time to reach x=A/2 from t=0 is:
  • π/6ω
  • π/ω
  • π/2ω
  • π/3ω
49. When light travels from medium A to B, its wavelength triples. The ratio μA/μB is:
  • 9
  • 1/9
  • 3
  • 1/3
50. The dimensional formula of Planck’s constant is
  • [ML²T ¹]
  • [ML²T⁻²]
  • [MLT⁻²]
  • [ML²T⁻¹]
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