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A block of mass \(1 \ kg\) attached to a spring is made to oscillate with an initial amplitude of \(12 \ cm\). After 2 m…

Q1

A block of mass \(1 \ kg\) attached to a spring is made to oscillate with an initial amplitude of \(12 \ cm\). After 2 minutes the amplitude decreases to \(6 \ cm\). Determine the value of the damping constant for this motion.
(Take \(\ln 2=0.693\) )

[JEE Main 2021, 17 Mar (Shift 2)]

a

\(0.69 \times 10^2 \ kg s ^{-1}\)

b

\(3.3 \times 10^2 \ kg s ^{-1}\)

c

\(1.16 \times 10^{-2} \ kg s ^{-1}\)

d

\(5.7 \times 10^{-3} \ kg s ^{-1}\)

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