Answer: Halves.
- A Halves
- B Doubles
- C Quadruples
- D Stays the same
Correct answer: A. Halves
Explanation: T = 2π√(m/k). If k increases 4 times, T decreases by factor √4 = 2. The period halves.
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.