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📌 Structured • Exam-Oriented • IIT–JEE Advanced Focused Learning

Objective Type Questions – SHM (Page 2)

Level: JEE Main + Early JEE Advanced

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Q11. A particle executes SHM with amplitude A. At what displacement will its kinetic energy be half of the total energy?

1. A/2
2. A/√2
3. √3A/2
4. A/4

Answer: B

Q12. The maximum speed of a particle in SHM is v. The speed at displacement A/2 is:

1. v/2
2. v/√2
3. (√3/2)v
4. v

Answer: C

Q13. The ratio of maximum acceleration to maximum velocity in SHM equals:

1. ω
2. 1/ω
3. ω²
4. Constant independent of ω

Answer: A

Q14. A particle starts SHM from the mean position. Its displacement after time T/4 will be:

1. A
2. A/2
3. A/√2
4. 0

Answer: A

Q15. In SHM, the time taken to go from mean position to extreme position is:

1. T
2. T/2
3. T/4
4. T/8

Answer: C

Q16. The potential energy of a particle executing SHM is maximum when:

1. Velocity is maximum
2. Acceleration is zero
3. Displacement is maximum
4. Kinetic energy is maximum

Answer: C

Q17. If the angular frequency of SHM is doubled, the time period becomes:

1. Double
2. Half
3. Four times
4. Unchanged

Answer: B

Q18. A mass–spring system oscillates with period T. If the spring constant is quadrupled, the new period is:

1. 2T
2. T/2
3. T/4
4. 4T

Answer: B

Q19. In SHM, the restoring force is:

1. Constant
2. Proportional to velocity
3. Proportional to square of displacement
4. Proportional to displacement

Answer: D

Q20. The phase difference between acceleration and displacement in SHM is:

1. 0
2. π/2
3. π
4. π/4

Answer: C

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End of Objective Page 2