Two particles \( A \) and \( B \), each of mass \( m \) are kept stationary by applying a horizo...

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Two particles \( A \) and \( B \), each of mass \( m \) are kept stationary by applying a horizontal force \( F=m g \) on particle \( B \) as shown in figure. Then,
(a) \( \tan \beta=2 \tan \alpha \)
(b) \( 2 T_{1}=5 T_{2} \)
(c) \( \sqrt{2} T_{1}=\sqrt{5} T_{2} \)
(d) \( \alpha=\beta \)
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