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/5GM²/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) Numerical answer type. Work it out, then open the answer.

Answer: 3. Energy needed = gravitational self-energy (binding energy) of a uniform sphere. E = 3/5GM²/R Compare with x/5GM²/R So x = 3.

If one wants to remove all the mass of the earth to infinity in order… | JEE Main 2021 (16 Mar, Shift 2)

Q20JEE Main 2021 · 16 MAR · SHIFT 2Difficult

Gravitational Potential & Energy

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 $\frac{x}{5}\frac{GM^2}{R}$ 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)

Numerical answer type. Work it out, then open the answer.

Show answer and solution

Answer: 3

Energy needed = gravitational self-energy (binding energy) of a uniform sphere.
$E = \frac{3}{5}\frac{GM^2}{R}$
Compare with $\frac{x}{5}\frac{GM^2}{R}$
So $x = 3$ .

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Gravitational Potential & Energy question from JEE Main 2021 (16 Mar, Shift 2)

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