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

Oscillations and Waves: JEE Main 2019 Physics question

JEE Main 2019 · 10 Apr, Morning shift · Q8121

JEE Main 201910 Apr, Morning shiftPhysicsEasyOscillations and Waves185× since 2002

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

JEE Main 201910 Apr, Morning shiftPhysicsEasyOscillations and Waves185× since 2002

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 :