Question

If $U_1,U_2$ represents "change in potential energy" of a body with mass $m$ moving from $A$ to $B$ along two different paths $1$, & $2$ (as shown in the figure) in the gravitational field. Then

• A. $U_1=U_2$
• B. $U_1>U_2$
• C. $U_1<U_2$
• D. $U_1\ge U_2$

Answer 1

The correct option is A $U_1=U_2$

Change in potential energy is path independent, depends only upon initial and final positions.

Here in the diagram the initial and final position for both paths is same, so $(U_1=U_2)$

Hence option A is the correct answer