Amplitude of a mass-spring system, which is executing P simple harm...

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Amplitude of a mass-spring system, which is executing
P simple harmonic motion decreases with time. If mass
W) \( =500 \mathrm{~g} \), Decay constant \( =20 \mathrm{~g} / \mathrm{s} \) then how much time is required for the amplitude of the system to drop to drop to half of its initial value? \( (\ln 2=0.693) \)
[JEE Main-2021 (March)]
(a) \( 17.32 \mathrm{~s} \)
(b) \( 34.65 \mathrm{~s} \)
(c) \( 0.034 \mathrm{~s} \)
(d) \( 15.01 \mathrm{~s} \)
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