Simple Harmonic Motion (SHM)

Objective Questions – Page 4 (JEE Advanced Tough Level)

SECTION: Deep Concept & IIT-Level Traps

The ratio of time taken by a particle to move from x = 0 to x = A/2 and from x = A/2 to x = A is:
Answer: Less than 1
In SHM, the acceleration is maximum at:
Answer: Extreme position
If velocity is plotted against displacement, the graph obtained is:
Answer: Ellipse
The time taken by a particle to cover half the amplitude starting from mean position is:
Answer: T/6
The displacement where kinetic energy equals potential energy is:
Answer: x = A/√2
Which statement is always true for SHM?
Answer: a = −ω²x
If the phase of SHM is π/3, the displacement is:
Answer: A/2
At what point is the rate of change of momentum maximum?
Answer: Extreme position
The angular frequency of SHM is independent of:
Answer: Amplitude
If a particle performs SHM, which quantity is NOT periodic?
Answer: Velocity sign
The average value of acceleration over one complete cycle is:
Answer: Zero
If total energy is E, the maximum potential energy is:
Answer: E
The restoring force is maximum when:
Answer: Displacement is maximum
The graph of velocity versus time is:
Answer: Sinusoidal
In SHM, the acceleration and displacement are:
Answer: Opposite in direction
The instantaneous power is maximum when:
Answer: Displacement is neither zero nor maximum
The particle spends maximum time near:
Answer: Extreme positions
Which method is fastest to solve SHM problems in JEE?
Answer: Energy method
The time period of SHM depends on:
Answer: Restoring force constant
Which of the following can NEVER be zero in SHM?
Answer: Angular frequency

JEE ADVANCED TRAP:
Equal displacements do NOT mean equal time. Always convert displacement into phase angle.

Topper Strategy:
If equations look messy, switch to:

Energy conservation
Symmetry of motion
Limiting cases

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🔹 Simple Harmonic Motion (SHM) — Extended Series (30–56)

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