Question

Assertion :Velocity time graph of two particles undergoing head-on collsion is shown in the figure. If collision is inelastic then value of y must be less than x. Reason: Coefficient of restitution(e) $=\frac{|\text{velocity of separation}|}{|\text{velocity of approach}|}$

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Assertion is incorrect but Reason is correct

Answer 1

The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

Coefficient of restitution $e=\frac{|x|}{|y|}$

where $x$ is the velocity of separation and $y$ is velocity of approach.

In inelastic collision, $e<1$

$⟹$ $x<y$

Thus both assertion and reason are correct but reason does not explain the assertion correctly as reason does not tell that $e$ is less than $1$ in inelastic collision.

Hence option B is correct.