JEE MAIN - Physics (2021 - 16th March Evening Shift - No. 20)
If one wants to remove all the mass of the earth to infinity in order to break it up completely.
The amount of energy that needs to be supplied will be $${x \over 5}{{G{M^2}} \over R}$$ where x is __________ (Round off to the Nearest Integer) (M is the mass of earth, R is the radius of earth, G is the gravitational constant)
The amount of energy that needs to be supplied will be $${x \over 5}{{G{M^2}} \over R}$$ where x is __________ (Round off to the Nearest Integer) (M is the mass of earth, R is the radius of earth, G is the gravitational constant)
Answer
3
Explanation
We know that binding energy of earth,
$$BE = - {3 \over 5}{{G{M^2}} \over R}$$
$$\therefore$$ Energy required to break the earth into pieces
$$ = - BE = {3 \over 5}{{G{M^2}} \over R}$$ ...... (i)
According to question, the amount of energy that needs to be supplied is $${x \over 5}{{G{M^2}} \over R}$$.
Comparing it with value in Eq. (i), we get,
$$x = 3$$
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