A stone is dropped from the same height at Terai and at the top of the mountain. Where does it fall faster? Why?

It will fall at the same speed in both locations

Explanation:

When an object is falling, it is accelerated to the same degree irrespective of the height from which it is falling.

All objects on the earth's surface experience an acceleration due to gravity. This acceleration due to gravity is the same for all objects irrespective of their height or mass.

Hence for a stone dropped from the same height as Terai and the top of a mountain, the acceleration due to gravity is the same in both cases hence they will fall at the same speed.