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AIEEE 2011 Solved Paper
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© examsnet.com
Question : 38
Total: 91
Two bodies of masses
m
and
4
m
are placed at a distance
r
. The gravitational potential at a point on the line joining them where the gravitational field is zero is:
−
4
G
m
r
−
6
G
m
r
−
9
G
m
r
zero
Validate
Solution:
Let the gravitational field at
P
, distant
x
from mass
m
, be zero
∴
G
m
x
2
=
4
G
m
(
r
−
x
)
2
⇒
4
x
2
=
(
r
−
x
)
2
⇒
2
x
=
r
−
x
⇒
x
=
r
3
Gravitational potential at point
P
,
V
=
−
G
m
7
3
−
4
G
m
2
r
3
=
−
9
G
m
r
© examsnet.com
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