Answer: 2 times.
- A half
- B √2 times
- C 2 times
- D 4 times
Correct answer: C. 2 times
Explanation: T ∝ √L, so 4× length gives √4 = 2 times the period.
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.