As shown in the figure, three sided frame is pivoted at \( P \) and...

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As shown in the figure, three sided frame is pivoted at \( P \) and \( Q \) and hangs vertically. Its sides are of same length and have a linear density of \( \sqrt{3} \mathrm{~kg} / \mathrm{m} \). A current of \( 10 \sqrt{3} \mathrm{~A} \) is sent through the frame, which is in a uniform magnetic field of \( 2 T \) directed upwards as shown in the figure.
\( \mathrm{P} \) Then, angle through which the frame will be deflected in equilibrium is \( \frac{\pi}{k} \). Find the value of \( k \).

W (Given, \( g=10 \mathrm{~m} / \mathrm{s}^{2} \) )
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