Free Test Simple Harmonic Motion – JEE

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

A. T = 2π√(l/g) B. T = 2π√(g/l) C. T = √(l/g) D. T = √(g/l)

Q2: Which quantity is maximum at mean position in SHM?

A. Displacement B. Acceleration C. Velocity D. Potential Energy

Q3: In SHM, acceleration is proportional to:

A. Velocity B. Square of displacement C. Displacement D. None of these

Q4: Phase difference between displacement and acceleration in SHM is:

A. 0 B. π/2 C. π D. 2π

Q5: Total energy in SHM is proportional to:

A. Amplitude B. Amplitude² C. Frequency D. Frequency²

Q6: A body executes SHM with amplitude A. The total distance covered in one oscillation is:

A. A B. 2A C. 4A D. Zero

Q7: The potential energy of a particle in SHM is maximum at:

A. Mean position B. Extreme position C. Midway D. Everywhere equal

Q8: Which of the following is not a characteristic of SHM?

A. Restoring force is proportional to displacement B. Acceleration is constant C. Motion is periodic D. Velocity is maximum at mean

Q9: The restoring force in SHM is given by:

A. F = ma B. F = kx C. F = -kx D. F = -ma

Q10: The velocity of a particle in SHM is zero at:

A. Mean position B. Any arbitrary point C. Extreme position D. Quarter period

Q11: Which function represents SHM?

A. x = A sin(ωt) B. x = At C. x = A exp(ωt) D. x = A t²

Q12: At what point is kinetic energy maximum in SHM?

A. Extreme position B. Midway between mean and extreme C. Mean position D. Nowhere

Q13: Displacement in SHM at any time is given by:

A. x = Acos(ωt + φ) B. x = Aωt C. x = At² D. x = A/ω

Q14: Angular frequency ω of SHM is given by:

A. ω = √(k/m) B. ω = k/m C. ω = √(m/k) D. ω = m/k

Q15: If mass is doubled in spring SHM, period becomes:

A. Half B. Same C. √2 times D. Double

Q16: SHM can be projected as:

A. Uniform circular motion B. Projectile motion C. Uniform linear motion D. None

Q17: Dimension of spring constant k is:

A. ML²T⁻² B. MLT⁻² C. MT⁻² D. ML⁻¹T⁻²

Q18: Equation for acceleration in SHM is:

A. a = ω²x B. a = -ω²x C. a = ωx² D. a = -x²

Q19: Amplitude of SHM depends on:

A. Frequency B. Initial velocity C. Initial displacement D. Both B and C

Q20: Which one remains constant in SHM?

A. Displacement B. Kinetic Energy C. Total Energy D. Velocity

Quiz for Simple Harmonic Motion