Objective Type Questions – SHM (Page 10)

Focus: Ultimate PYQ Logic • Multi-Concept Fusion • Rank Deciders

Level: Extreme (Top 500 JEE Advanced)


Final Exam Strategy:
• Think in phase & symmetry
• Avoid calculation if logic exists
• Eliminate options before solving
Q91.
In SHM, which quantity remains constant throughout motion?

Answer: Total mechanical energy
Q92.
A particle in SHM has displacement x at time t. What is the phase at that instant?

Answer: sin⁻¹(x/A)
Q93.
At what position is acceleration maximum and velocity zero?

Answer: At extreme positions (x = ±A)
Q94.
If amplitude is doubled, time period becomes:

Answer: Unchanged
Reason: T = 2π√(m/k)
Q95.
The ratio of maximum acceleration to maximum velocity in SHM is:

Answer: ω
Q96.
Which graph correctly represents SHM?
(A) x vs t → sine curve
(B) v vs t → cosine curve
(C) a vs x → straight line with negative slope
(D) All of the above

Correct Answer: D
Q97.
Time spent by particle in SHM between x = A/2 and x = A is:

Answer: T/12
Q98.
Which quantity is maximum at mean position?
(A) Displacement
(B) Acceleration
(C) Velocity
(D) Potential Energy

Correct Answer: C
Q99.
In SHM, if kinetic energy is three times potential energy, then x/A equals:

Answer: 1/2
Q100.
A particle performs SHM. If it crosses mean position at time t = 0, what is the phase constant?

Answer: Zero (if motion starts from mean position)

FINAL CAPSULE – JEE ADVANCED:
• Phase method beats equations
• Energy approach avoids traps
• Symmetry saves time
• Calmness = Accuracy

🎯 OBJECTIVE SERIES COMPLETED (PAGE 1 → PAGE 10) 🎯

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