The displacement of simple harmonic oscillator after 3 seconds starting from its mean position is equal to half of its amplitude. The time period of harmonic motion is

Step-by-step solution

Displacement equation is given by x = A sin ω t Now, when amplitude is halved, A 2 = A sin ω t Or ω t = π 6 At, t = 3   s , ω 3 = π 6 ⇒ ω = π 18 Time period, T = 2 π ω = 2 π π 18 = 36   s