JEE PHYSICS MCQ: OSCILLATIONS

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Application +4 | -1

The amplitude of a damped oscillator varies with time as

A(t)={A}_0 \exp (-b t / 2 m)

where

b=

70 \mathrm{~g} / \mathrm{s}

and

m=200 \mathrm{~g}

. How long does it take for the mechanical energy to drop to one - fourth of its initial value? [Take ln 2 = 0.7]

View answer and explanation

Correct option: B

4.0 \mathrm{~s}

Option B (

4.0 \mathrm{~s}

) is correct because it's calculated by finding the time it takes for the mechanical energy of a damped oscillator to drop to one-fourth of its initial value using the given parameters.

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