Quiz for SHM

Q1: What is the time period of a simple pendulum of length L?

A. A) 2π√(L/g) B. B) 2πL C. C) √(L/g) D. D) π√(L/g)

Q2: Which of the following quantities remains constant in SHM?

A. A) Displacement B. B) Acceleration C. C) Amplitude D. D) Velocity

Q3: At mean position in SHM, which of the following is maximum?

A. A) Acceleration B. B) Displacement C. C) Potential energy D. D) Kinetic energy

Q4: Total energy of a body in SHM is:

A. A) Constant B. B) Increases with time C. C) Decreases with time D. D) Zero

Q5: In SHM, the acceleration is proportional to:

A. A) Velocity B. B) Time C. C) Displacement D. D) Energy

Q6: Which of the following is not true about SHM?

A. A) It is periodic B. B) Restoring force is proportional to displacement C. C) Acceleration is uniform D. D) Energy remains constant

Q7: A body executes SHM with amplitude 5 cm. The maximum speed is 10 cm/s. What is its angular frequency?

A. A) 1 rad/s B. B) 2 rad/s C. C) 3 rad/s D. D) 4 rad/s

Q8: Which statement is true for SHM?

A. A) Displacement is always zero B. B) Velocity is constant C. C) Acceleration is proportional to displacement D. D) Force is independent of displacement

Q9: Phase difference between displacement and velocity in SHM is:

A. A) 0 B. B) π/2 C. C) π D. D) 2π

Q10: For SHM, the graph of acceleration versus displacement is:

A. A) Linear and positive slope B. B) Linear and negative slope C. C) Parabolic D. D) Circular

Q11: The maximum acceleration in SHM is:

A. A) Aω B. B) Aω² C. C) ω²/A D. D) A/ω²

Q12: Which of the following is dimensionally different?

A. A) Displacement B. B) Amplitude C. C) Velocity D. D) Frequency

Q13: SHM is defined as:

A. A) Motion with constant velocity B. B) Motion with acceleration proportional to displacement C. C) Non-periodic motion D. D) Random motion

Q14: In SHM, the kinetic energy is maximum at:

A. A) Mean position B. B) Amplitude C. C) All positions D. D) Never maximum

Q15: Which of the following changes if amplitude of SHM is doubled?

A. A) Time period B. B) Frequency C. C) Maximum velocity D. D) Angular frequency

Q16: The equation x = A sin(ωt + φ) represents:

A. A) Linear motion B. B) Circular motion C. C) Simple harmonic motion D. D) Uniform motion

Q17: Which of the following determines the time period in a spring-mass system?

A. A) Amplitude only B. B) Mass only C. C) Spring constant and mass D. D) Length only

Q18: What is the energy stored in a spring executing SHM?

A. A) (1/2)mv² B. B) (1/2)kx² C. C) (1/2)kA² D. D) (1/2)mvA²

Q19: The graph of velocity versus time in SHM is:

A. A) Parabolic B. B) Rectangular C. C) Sinusoidal D. D) Triangular