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A bullet of mass 10 g is fired from a gun of mass 1 kg with recoil velocity of gun 5 m/s. The muzzle velocity will beA. 30 km/minB. 60 km/minC. 30 m/sD. 500 m/s

Answer» Correct Answer - D
Conservation of linear momentum gives
`m_(1)v_(1)+m_(2)v_(2)=0`
`m_(1)v_(1)=-m_(2)v_(2) implies v_(1)=(-m_(2)v_(2))/m_(1)`
Given, `m_(1) =10 g=(10/1000) kg`
`m_(2)=1 kg` and `v_(2)=-5` m/s
`:.` Velocity of muzzle,
`v_(1)=(+1xx5)/(10//1000)=500 m//s`


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