For a damped oscillator the amplitude varies with time as

PHYSICS · Single correct · CBSE · Physics · Oscillations · Oscillations

Problem

A = A_0 e^{-k t}

, where

k

is a positive constant. After what time will the mechanical energy of the oscillator be reduced to

1\%

of its initial value? (a)

\dfrac{\ln 10}{2k}

(b)

\dfrac{\ln 10}{k}

(c)

\dfrac{2\ln 10}{k}

(d)

\dfrac{\ln 5}{k}