$A$ 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 $b$ for this motion. (Take $\ln 2 = 0.693$)

• 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
  $1.16 \times 10^{-2} \, kg \, s^{-1}$