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 In $2=0.693$ )
  • A$0.69 \times 10^{2}\, kg s ^{-1}$
  • B$3.3 \times 10^{2}\, kg s ^{-1}$
  • C$5.7 \times 10^{-3}\, kg s ^{-1}$
  • D$1.16 \times 10^{2} \,kg s ^{-1}$
JEE MAIN 2021, Diffcult
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