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Manipal Entrance Test 2020 Physics Paper
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© examsnet.com
Question : 40
Total: 50
How much deep inside the earth (radius
R
) should a man go, so that his weight becomes one-fourth of that on the earth's surface?
R
2
3
R
4
R
4
R
3
Validate
Solution:
Suppose depth inside the earth is
h
As we know that, inside the earth
g
i
∝
(
R
−
h
R
3
)
.....(i)
On the surface of the earth
g
s
∝
1
R
2
...(ii)
From Eqs. (i) and (ii), we get
g
i
g
s
=
(
R
−
h
)
R
2
R
3
=
R
−
h
R
⇒
1
4
=
R
−
h
R
⇒
R
=
4
R
−
4
h
⇒
3
R
=
4
h
⇒
h
=
3
4
R
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