Two small spheres of masses
and
are suspended by weightless insulating threads of lengths
and
. The spheres carry charges
and
, respectively. The spheres are suspended such that they are in level with one another and the threads are inclined to the vertical at angles of
and
as shown. Which one of the following conditions is essential, if
?

Text Solution
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The three forces acting on each sphere are
(i) tension (ii) weight
(iii) electrostatic force of repulsion

For sphere 1 , in equilibrium, from figure,
and

For sphere 2, in equilibrium, from figure,
and

Force of repulsion between two charges are same.
Here, 
only, if 
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