The displacement of a damped harmonic oscillator is given by x(t ) = e^–0.1t cos (10…t + f). Here t is in seconds. The time taken for its amplitude of vibration to drop to half of its initial value is close to :

Option C. Amplitude at (t = 0) A₀ = e^–0.1× 0 = 1

Simple Harmonic Motion

JEE Main 2019 · 10 Apr, Morning shift · Q8121

PhysicsEasy100×since 2002Q8121

The displacement of a damped harmonic oscillator is given by x(t ) = e^–0.1t cos (10

\pi

t + f). Here t is in seconds. The time taken for its amplitude of vibration to drop to half of its initial value is close to :

JEE Main 2019 · 10 Apr, Morning shift · Q8121

PhysicsEasy100×since 2002Q8121

The displacement of a damped harmonic oscillator is given by x(t ) = e^–0.1t cos (10

\pi

t + f). Here t is in seconds. The time taken for its amplitude of vibration to drop to half of its initial value is close to :