CBSE Class 12-science Answered
my question is !......
Asked by | 13 Jun, 2009, 03:38: PM
Expert Answer
Electrostatic force of repulsion between the spheres = F ( Say )
Now, F =( 1/4Πε0) ( product of charges of the two spheres / square of the distance between them )
Distance between the spheres = 2l sin θ
Charge on each sphere = q
so, F = ( 1/4Πε0) ( q / 2l sin θ )2
Now in equilibrium ,
F = mg tan θ
or, ( 1/4Πε0) ( q / 2l sin θ )2 = mg tan θ
or, q2 / 4 l2 sin θ2 = ( 4Πε0 ) mg tan θ
or, q2 = 4 mg l2 sin θ2 tan θ ( 4Πε0 )
Hence proved.
Answered by | 15 Jun, 2009, 12:52: PM
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