Simple Harmonic Motion (SHM)

Objective Questions – Page 3 (Advanced Level)

SECTION: Tricky & Concept-Integrated Objective Questions

For a particle in SHM, the ratio of maximum acceleration to maximum velocity is:
Answer: ω
At what displacement is the velocity half of its maximum value?
Answer: x = (√3/2)A
The time taken to move from x = A/2 to x = A/√2 is:
Answer: Less than T/12
The restoring force in SHM is zero when:
Answer: Displacement is zero
If energy of SHM is doubled, amplitude becomes:
Answer: √2 times
The instantaneous power in SHM is zero at:
Answer: Mean and extreme positions
Which quantity is maximum when displacement is zero?
Answer: Velocity
If phase angle increases uniformly with time, the motion is:
Answer: Periodic
The average value of kinetic energy over a full cycle is:
Answer: Half of total energy
The ratio of maximum kinetic energy to maximum potential energy in SHM is:
Answer: 1
For SHM, the acceleration–time graph is:
Answer: Sinusoidal
If displacement is doubled, acceleration becomes:
Answer: Doubled
The velocity of SHM is proportional to:
Answer: √(A² − x²)
At which position is the momentum maximum?
Answer: Mean position
The frequency of oscillation of a mass–spring system depends on:
Answer: Mass and spring constant
Which of the following remains unchanged in vertical SHM?
Answer: Time period
The total energy of SHM varies with:
Answer: Square of amplitude
The phase difference between acceleration and velocity is:
Answer: π/2
The motion is SHM if acceleration is proportional to:
Answer: Negative displacement
The maximum speed in SHM occurs when:
Answer: Potential energy is minimum

Advanced Trap Alert:
Never assume equal time for equal displacement in SHM. Time depends on angular position, not linear distance.

IIT Tip:
If a question feels long, check if it can be solved using energy or symmetry instead of equations.

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