Assertion (A): In an elastic collision betwee | vedclass

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(B) The Assertion $(A)$ is true. By the definition of an elastic collision,both kinetic energy and linear momentum are conserved. For a one-dimensiona

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If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

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(B) The Assertion $(A)$ is true. By the definition of an elastic collision,both kinetic energy and linear momentum are conserved. For a one-dimensional elastic collision between two bodies of masses $m_1$ and $m_2$ with initial velocities $u_1$ and $u_2$ and final velocities $v_1$ and $v_2$,the coefficient of restitution $e$ is defined as $e = \frac{v_2 - v_1}{u_1 - u_2}$. For an elastic collision,$e = 1$,which implies $v_2 - v_1 = u_1 - u_2$. This confirms that the relative speed of separation after collision is equal to the relative speed of approach before collision.The Reason $(R)$ is also true. In any collision (elastic or inelastic),the total linear momentum of the system is conserved provided no external force acts on the system.However,the conservation of linear momentum alone does not explain why the relative speed remains constant; that property is a consequence of the conservation of kinetic energy in an elastic collision. Therefore,the Reason is not the correct explanation of the Assertion.

Assertion $(A)$: In an elastic collision between two bodies,the relative speed of the bodies after collision is equal to the relative speed before the collision.
Reason $(R)$: In an elastic collision,the linear momentum of the system is conserved.

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Assertion $(A)$: In an elastic collision between two bodies,the relative speed of the bodies after collision is equal to the relative speed before the collision.Reason $(R)$: In an elastic collision,the linear momentum of the system is conserved.