Question

assertion(A) :the recoil velocity of a gun is much lesser than that of bullet. Reason(R) :less force due to the bullet exerted on the gun than that exerted by the bullet
1)both A and R are correct
2)A is true but R is is false
3)R is true but A is false
4)both are correct but R is not correct explanation of A​

Answer 1

Explanation:

4)both are correct but R is not correct explanation of

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Answer 2

The correct option is 1) both A and R are correct.

Due to the conservation of momentum, the gun provides equal and opposing momentum to the forward momentum of the bullet.

Before Firing:

• Consider our system to be "gun plus bullet." Since no external influences influence the system, it is an isolated system. (Gravity and air resistance are not considered.)
• Since both the rifle and the bullet are at rest, their respective momentums (mv) are both zero.
• Therefore, the system's overall momentum is zero before the bullet is fired.

After Firing:

• Following the gunshot, the bullet accelerates to the right, as indicated. This indicates that the bullet has the momentum to the right, or mv.
• Before the gun was fired, the system had zero overall momentum. Thus it must also have zero total momentum right now.
• As a result, the gun's momentum must be equal to and opposite to the left's, so:
• Although the rifle and bullet have equal momenta, their resulting velocities are not equal. Due to the bullet's low mass, it travels at high speed.
• Because of its heavy mass, the gun has a low velocity. The gun's "kick" is determined by its velocity.

Thus, the assertion and the reason is correct.

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