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Two particles A and B, each of mass m, are kept stationary by applying a horizontal force F = mg on particle B, A and B are connected to the fixed point O with the help of two strings $S_{1}$ and $S_{2}$ , strings are having tension of $T_{1}$ and $T_{2}$ respectively as shown in figure. Then choose the CORRECT options:

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$\tan β = 2 \tan α$

$2 T_{1} = 5 T_{2}$

$T_{1} \sqrt{2} = T_{2} \sqrt{5}$

None of these

answer is C, A.

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Detailed Solution

$T_{2} = m g \sqrt{2}$ $\tan β = 1$

$T_{1} = m g \sqrt{5}$ $\tan α = \frac{1}{2}$

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