Question

Assertion: A tennis ball bounces higher on hills than in plains.
Reason: Acceleration due to gravity on the hill is greater than that on the surface of'earth.

• A. If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion
• B. If both Assertion and Reason are true but the Reason is not the correct explanation of the Assertion.
• C. If Assertion is true statement but Reason is false
• D. If both Assertion and Reason are false

Answer 1

The correct option is C If Assertion is true statement but Reason is false

Let the ball bounces up with the speed $u$

At the maximum height the velocity of the ball becomes zero.

Using $v^2-u^2=2aS$

$\therefore$ $0-u^2=2(-g^{\prime })H$ $⟹H=\frac{u^2}{2g^{\prime }}$

As the acceleration due to gravity decreases with altitude, thus the acceleration due to gravity on the hill is smaller than that on the surface of earth i.e $g^{\prime }<g$

Thus the maximum height attained by the ball is greater on hills than in plains.

Hence the assertion is true but the reason is false.