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Answer:
Force between the two charges (+q
1
and+q
2
), if they are at a distance 'd' is
F
1
=
4πϵ
0
1
d
2
q
1
q
2
1)
When the metal spheres are in contact the charge flow from one sphere to another till both the spheres acquire the same charge.
Here q
1
andq
2
are of same sign, hence after contact each sphere will have a charge
2
(q
1
+q
2
)
The new charge Q=
2
q
1
+q
2
Now the force between them,
F
2
=
4πϵ
0
1
d
2
[
2
q
1
+q
2
]
2
(2)
From equations (1) and (2)
F
2
=F
1
4q
1
q
2
(q
1
+q
1
)
2
Explanation:
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