JEE Physics · Hard

Simple Harmonic Motion: Springs MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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SpringsHardQuestion 31173

Question

A spring-mass system (m = 0.5 kg, k = 200 N/m) is given initial amplitude 4 cm. Maximum acceleration is:
  1. A
    16 m/s²
    Correct
  2. B
    1.6 m/s²
  3. C
    160 m/s²
  4. D
    0.16 m/s²

Correct answer

16 m/s²

Explanation

ω = √(200/0.5) = 20 rad/s. a_max = ω²A = 400 × 0.04 = 16 m/s².