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JEE Main 16 March 2021 Shift 2 Solved Paper
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© examsnet.com
Question : 24
Total: 90
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
5
G
M
2
R
, where
x
is
(Round off to the nearest integer) (
M
is the mass of earth,
R
is the radius of earth and
G
is the gravitational constant.)
[16 Mar 2021 Shift 2]
Your Answer:
Validate
Solution:
We know that binding energy of earth,
B
E
=
−
3
5
G
M
2
R
∴
Energy required to break the earth into pieces
=
−
B
E
=
3
5
G
M
2
R
.......(i)
According to question, the amount of energy that needs to be supplied is
x
5
G
M
2
R
.
Comparing it with value in Eq. (i), we get,
x
=
3
© examsnet.com
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