Three identical point charges, each of mass \( m \) and charge \( q \), hang from three strings ...

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Three identical point charges, each of mass \( m \) and charge \( q \), hang from three strings as shown in figure. The value of \( q \) in terms of \( m, L \), and \( q \) is
(1) \( q=\sqrt{(16 / 5) \pi \varepsilon_{0} m g L^{2} \sin ^{2} \theta \tan \theta} \)
(2) \( q=\sqrt{(16 / 15) \pi \varepsilon_{0} m g L^{2} \sin ^{2} \theta \tan \theta} \)
(3) \( q=\sqrt{(15 / 16) \pi \varepsilon_{0} m g L^{2} \sin ^{2} \theta \tan \theta} \)
(4) none of these
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