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QJEEM21Ph9c9e: JEE Main 2021 Physics - Class 11 JEEM21Ph9c9e Solution: If one wants to remove all the mass of the earth to infinity in …

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 x5GM2R{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)

Step-by-Step Verified Solution

We know that binding energy of earth,

BE=−35GM2RBE = - {3 \over 5}{{G{M^2}} \over R}

∴\therefore Energy required to break the earth into pieces

=−BE=35GM2R= - BE = {3 \over 5}{{G{M^2}} \over R} ...... (i)

According to question, the amount of energy that needs to be supplied is x5GM2R{x \over 5}{{G{M^2}} \over R} .

Comparing it with value in Eq. (i), we get,

x=3x = 3

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