A spring mass system executes damped harmonic oscillations given by the equation 

$y = A{e^{ - \frac{{bt}}{{2m}}}}\sin (\omega 't + \phi )$

where the symbols have their usual meanings. If a $2\ kg$ mass $(m)$ is attached to a spring of force constant $(K)$ $1250\ N/m$ , the period of the oscillation is $\left( {\pi /12} \right)s$ . The damping constant $‘b’$ has the value. ..... $kg/s$

  • A$9.8$
  • B$2.8$
  • C$98$
  • D$28$
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