Acharged ball of mass \( 9 \mathrm{~kg} \) issuspended from a string in a uniform electric field...

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Acharged ball of mass \( 9 \mathrm{~kg} \) issuspended from a string in a uniform electric field \( \vec{E}=(3 \hat{i}+5 \hat{j}) \times 10^{5} \mathrm{~N} / \mathrm{C} \). The ball is in equilibrium with \( \theta=37^{\circ} \). If direction of electric field is reversed, find the new equilibrium position of the ball. Give your answer in terms of angle made by string with vertical. Take \( g=10 \mathrm{~ms}^{-2} \).
(1) \( \tan ^{-1}\left(\frac{3}{4}\right) \)
(2) \( \cot ^{-1}\left(\frac{3}{14}\right) \)
(3) \( \cot ^{-1}\left(\frac{3}{4}\right) \)
(4) \( \tan ^{-1}\left(\frac{3}{14}\right) \)
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