STATEMENT-1
In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision.
because
STATEMENT-2
In an elastic collision, the linear momentum of the system is conserved.
In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision.
because
STATEMENT-2
In an elastic collision, the linear momentum of the system is conserved.
- (A)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1
- (B)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1✓ Correct
- (C)Statement-1 is True, Statement-2 is False
- (D)Statement-1 is False, Statement-2 is True
Answer: (B)
Solution
Statement-1: In an elastic collision, both momentum and kinetic energy are conserved. From these two conservation laws, it can be derived that the relative velocity of approach equals the relative velocity of separation. Statement-1 is True.
Statement-2: Linear momentum is conserved in all collisions (elastic or inelastic), provided no external forces act. Statement-2 is True.
Relationship: However, Statement-2 alone does not explain Statement-1. The equality of relative speeds is a consequence of both momentum and energy conservation, not just momentum conservation. Therefore, Statement-2 is NOT a correct explanation for Statement-1.
The answer is (B).
Statement-2: Linear momentum is conserved in all collisions (elastic or inelastic), provided no external forces act. Statement-2 is True.
Relationship: However, Statement-2 alone does not explain Statement-1. The equality of relative speeds is a consequence of both momentum and energy conservation, not just momentum conservation. Therefore, Statement-2 is NOT a correct explanation for Statement-1.
The answer is (B).
JEE Advanced · 2007 · 08 Apr 2007 · Paper 1 · Single correct option