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Question: Two small balls having equal positive charge Q (coulomb) on each are suspended by two insulated stri...

Two small balls having equal positive charge Q (coulomb) on each are suspended by two insulated string of equal length L meter, from a hook fixed to a stand. The whole set up is taken in satellite into space where there is no gravity (state of weight less ness). Then the angle between the string and tension in the string is

A

180o,14πε0.Q2(2L)2180^{o},\frac{1}{4\pi\varepsilon_{0}}.\frac{Q^{2}}{(2L)^{2}}

B

90,14πε0.Q2L290^{\circ},\frac{1}{4\pi\varepsilon_{0}}.\frac{Q^{2}}{L^{2}}

C

180,14πε0.Q22L2180^{\circ},\frac{1}{4\pi\varepsilon_{0}}.\frac{Q^{2}}{2L^{2}}

D

180o,14πε0.QL4L2180^{o},\frac{1}{4\pi\varepsilon_{0}}.\frac{QL}{4L^{2}}

Answer

180o,14πε0.Q2(2L)2180^{o},\frac{1}{4\pi\varepsilon_{0}}.\frac{Q^{2}}{(2L)^{2}}

Explanation

Solution

In case to weightlessness following situation arises So angle θ=180\theta = 180^{\circ} and force F=14πt0.Q2(2L)2F = \frac{1}{4\pi t_{0}}.\frac{Q^{2}}{(2L)^{2}}