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. STATEMENT–2: In an elastic collision, the linear momentum of the system is conserved.

Question

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.

STATEMENT–2: In an elastic collision, the linear momentum of the system is conserved. [2007]

Smart Achievers · Accepted Answer

(4)

Statement 1: For an elastic collision, the coefficient of restitution = 1

$e = \frac{| v_{2} - v_{1} |}{| u_{1} - u_{2} |} \Rightarrow$ $| v_{2} - v_{1} |$ $=$ $| u_{1} - u_{2} |$

$\Rightarrow$ Relative velocity after collision is equal to relative velocity before collision. But in the statement relative speed is given.

Statement 2: Linear momentum remains conserved in an elastic collision. This statement is true.

Solution

Q.
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.

STATEMENT–2: In an elastic collision, the linear momentum of the system is conserved. [2007]

1 Statement–1 is True, Statement–2 is True; Statement–2 is a correct explanation for Statement–1.

2 Statement–1 is True, Statement–2 is True; Statement–2 is NOT a correct explanation for Statement–1.

3 Statement–1 is True, Statement–2 is False.

4 Statement–1 is False, Statement–2 is True.

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