Question

Consider the following two statements:

Statement (I): A body of weight h and strikes the ground. If the body starts from rest, the velocity with which it strikes the fround is $\sqrt{2gh}$, where 'g' is the acceleration due to gravity.



Statement (II): If the same boy (initially at rest) slides without friction along an inclined plane PQ (angle of inclination $\alpha$) starting from an elevation h above point Q, then its velocity at point Q is $\sqrt{2gh}$



The correct option is

• A. Both statements 1 and 2 are true
• B. Statements 1 is true and statement 2 is false
• C. Statement 1 is fasle and statement 2 is true
• D. Both statements 1 and 2 are false

Answer 1

The correct option is A Both statements 1 and 2 are true

In both case by using conservation of Mechanical energy

$\frac{1}{2}m{v}^2=mgh$

$v=\sqrt{2gh}$