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Four point charges, each of +q, are rigi...

Four point charges, each of `+q`, are rigidly fixed at the four corners of a square planar soap film of side 'a'. The surface tension of the soap film is `gamma`. The system of charges and planar film are in equilibrium, and `a=k[(q^2)/(gamma)]^(1//N)`, where 'K' is a constant. Then N is

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The correct Answer is:
C
`F_(el ectric)=(kq^2)/(2a^2)+2[(kq^2)/(a^2)xx(1)/(sqrt2)]=(q^2)/(a^2)xx const ant`
As the system of charges and planar film is in equlibrium, therefore
`(q^2)/(a^2)xxconst ant=gammaaxxconst ant`
`:.` `a=k(q^2/gamma)^(1//3)` `:.` `N=3`
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