Two paths lead to the top of a hill. The first one is shorter and steeper whereas the second one is longer and gradual. The gain of potential energy is more for which of the paths?
Same for both the paths
Gain or loss of potential energy doesn’t depend on path. It depends on the total height or displacement of the body. Potential energy for both the paths will be the same as the height of the hill remains constant, irrespective of the path.