If one wants to remove all mass of earth to infinity in order to break it up completely. amount of e

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7.Gravitation

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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 $\quad\,..........$ (Round off to the Nearest Integer)

($M$ is the mass of earth, $R$ is the radius of earth, $G$ is the gravitational constant)

A

$3$

B

$6$

C

$4$

D

$9$

(JEE MAIN-2021)

Solution

Energy given $= U _{ f }- U _{ i }$

$=0-\left(-\frac{3}{5} \frac{ GM ^{2}}{ R }\right)$

$=\frac{3}{5} \frac{ GM ^{2}}{ R }$

$x =3$

Standard 11

Physics

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