A block of mass \( 200 \mathrm{~g} \) executing SHM under the influence of a spring of spring co...

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A block of mass \( 200 \mathrm{~g} \) executing SHM under the influence of a spring of spring constant
\( \mathrm{P} \) \( \mathrm{k}=90 \mathrm{~N} \mathrm{~m}^{-1} \) and a damping constant \( \mathrm{b}=40 \mathrm{~g} \mathrm{~s}^{-1} \). The

W. time elapsed for its amplitude to drop to half of its initial value is :- (Given \( \log _{\mathrm{e}} 2=0.693 \) )
(1) \( 7 \mathrm{~s} \)
(2) \( 9 \mathrm{~s} \)
(3) \( 4 \mathrm{~s} \)
(4) \( 11 \mathrm{~s} \)
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