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← IIT-JEE 2007 · Paper 1
PhysicsAssertion and reason+3 / -1Question 11 of 66

IIT-JEE 2007 · Paper 1, Physics question 11

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.

Choose one option
Answer and worked solution

Official answer: B

Statement 1. For an elastic (head-on) collision the coefficient of restitution is 1: the speed of separation equals the speed of approach. True (for the component along the line of impact).

Statement 2. Momentum is conserved in every collision without external forces. True, but it is not what makes the relative speeds equal (that comes from kinetic-energy conservation).

The official key accepts (B) or (D), the latter if Statement 1 is read as speeds rather than velocity components in an oblique collision.

(B) (key: B or D)