Simple Harmonic Motion (SHM)

Objective Questions – Page 7 (JEE Advanced Level)


SECTION: Energy, Extremes & Conceptual Traps

  1. At mean position, which quantity is maximum?
    Answer: Velocity
  2. At extreme position, which quantity is zero?
    Answer: Velocity
  3. At which position is acceleration maximum?
    Answer: Extreme position
  4. The ratio of kinetic to potential energy at x = A/2 is:
    Answer: 3 : 1
  5. If total energy is E, kinetic energy at x = A/√2 is:
    Answer: E/2
  6. When displacement is negative, restoring force is:
    Answer: Positive
  7. In one oscillation, acceleration is maximum how many times?
    Answer: Twice
  8. Which quantity changes sign at mean position?
    Answer: Acceleration
  9. The particle spends maximum time near:
    Answer: Extreme positions
  10. Which graph is a straight line?
    Answer: Acceleration vs displacement
  11. If amplitude doubles, maximum kinetic energy becomes:
    Answer: Four times
  12. Which remains constant throughout SHM?
    Answer: Angular frequency
  13. At what displacement is speed half of maximum?
    Answer: x = (√3/2)A
  14. Which pair is always opposite in direction?
    Answer: Displacement and acceleration
  15. The time period does NOT depend on:
    Answer: Amplitude
  16. Total energy is proportional to:
    Answer:
  17. Which quantity is zero only once in one cycle?
    Answer: Displacement
  18. The motion is fastest when:
    Answer: Passing through mean position
  19. If x = A sin(ωt), velocity is:
    Answer: Aω cos(ωt)
  20. Which method is safest for JEE?
    Answer: Energy + symmetry

JEE ADVANCED TRAP:
Do NOT assume “maximum” always means “mean position”. Acceleration is maximum at extremes — velocity is not.


Topper Thinking:
Before solving, ask:

  • Mean or extreme?
  • Energy-based or time-based?
  • Sign important or magnitude only?


Objective Page–7 Completed Successfully

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

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