Answer: 2π√(L/g).
- A 2π√(L/g)
- B 2π√(g/L)
- C π√(L/g)
- D 2πL/g
Correct answer: A. 2π√(L/g)
Explanation: T = 2π√(L/g). This assumes small angle oscillations (θ < 15°) and is independent of the mass of the bob.
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.