When a bullet is fired from a gun

Options

A. The kinetic energy of the bullet is more than that of the gun.
B. The acceleration of the bullet is more than that of the gun.
C. The momentum of the bullet is more than that of gun.
D. The velocity of the bullet is more than that of the gun.

Answer

A, B, D

Explanation

(a) According to the law of conservation of momentum,
`overset(to) (P_(B)) + overset(to)(G)=0` or `overset(to)(P_(G))=overset(to)(P_(B))`
(b) `m overset(to)(v) + M overset(to)(V) =0` i.e.,`overset(to)(V) = (-m)/(M) overset(to)(v)`, if the bullet moves forward, gun recoils or kicks backward, and the heavier the gun, the lesser the recoil.
(c ) As `K= (p^2)/( 2m),` so `(K_G)/( K_B) = ( m)/(M )`
i.e., `K_G lt K_B`
(d) As `overset(to) (F_G) =-overset(to)(F_G)` or `M overset(to)(a_G) =- moverset(to) (a_B)`
i.e., `| overset (to)(a_B)| gt |overset(to)(a_G)|`
So option (a), (b) and ( d) are correct.