Answer: Quadruples.
- A Quadruples
- B Doubles
- C Remains same
- D Halves
Correct answer: A. Quadruples
Explanation: E = (1/2)kA². If A is doubled, E = (1/2)k(2A)² = 4 × (1/2)kA². Energy quadruples.
In SHM, displacement and velocity are 90° out of phase (v is maximum when x=0, and zero when x is extreme), while acceleration is always exactly opposite in sign to displacement, consistent with a = −ω²x.
Concept context
Simple harmonic motion, spring-mass, pendulum, energy in SHM, and resonance.