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Two small positively charged spherical balls are suspended from a common point at the ceiling by non-conducting massless strings of equal length $$\ell$$. The first ball has mass $$m_1$$ and charge $$q_1$$ while the second ball has mass $$m_2$$ and charge $$q_2$$. If the two strings subtend angles $$\theta_1$$ and $$\theta_2$$ with the vertical as shown, then
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