A bullet of \( 10 \, \text{g} \) leaves the barrel of gun with a velocity of \( 600 \, \text{m/s} \). If the barrel of gun is \( 50 \, \text{cm} \) long and mass of gun is \( 3 \, \text{kg} \), then value of impulse supplied to the gun will be:
\( 3 \, \text{Ns} \)
\( 36 \, \text{Ns} \)
\( 6 \, \text{Ns} \)
\( 12 \, \text{Ns} \)