Assertion is false but reason is true. When a gun is fired it gives a backward jerk

Introduction:
When a gun is fired, it is observed that there is a forward jerk or recoil. This phenomenon can be explained by the law of conservation of momentum for an isolated system. According to this law, the total momentum of an isolated system remains constant if no external forces act on it.

Explanation:
1. Conservation of Momentum:
The law of conservation of momentum states that the total momentum of an isolated system before an event is equal to the total momentum of the system after the event, as long as no external forces act on the system. In simple terms, the total momentum of a system remains constant unless acted upon by an external force.

2. Momentum and Recoil:
Momentum is defined as the product of an object's mass and its velocity. When a gun is fired, the bullet inside the gun barrel gains momentum due to the explosion of gunpowder. As the bullet moves forward, it exerts a force on the gun in the opposite direction, resulting in a backward momentum for the gun.

3. Newton's Third Law of Motion:
The backward momentum of the gun is a consequence of Newton's third law of motion, which states that for every action, there is an equal and opposite reaction. When the bullet is propelled forward with a certain momentum, the gun experiences an equal and opposite momentum in the backward direction.

4. Conservation of Linear Momentum:
Since the gun and the bullet are part of an isolated system, the total momentum of the system must be conserved. The forward momentum gained by the bullet is balanced by the backward momentum of the gun. As a result, the gun experiences a recoil, or a forward jerk, when the bullet is fired.

Conclusion:
In conclusion, the forward jerk experienced when a gun is fired is a result of the law of conservation of momentum for an isolated system. The momentum gained by the bullet in the forward direction is balanced by the backward momentum of the gun, leading to the observed recoil. This phenomenon can be explained by Newton's third law of motion and the concept of conservation of linear momentum.