Assuming that the gravitational potential energy of an object at infinity is zero, the change in potential energy (final-initial) of an object of mass m, when taken to a height h from the surface of earth (of radius R), is given by,

  1. mgh

Answer (Detailed Solution Below)

Option 4 :
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Detailed Solution

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CONCEPT:

The potential energy is written as;

Here we have M is the mass of earth, m is the mass of an object, rf

is the final radius, ri is the initial radius and G is the gravitational constant.

CALCULATION:

At initial the object will have a radius of R 

In the final, the object will have a radius of R+h

Now the potential energy is written as;

Hence, option 4) is the correct answer.

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