Comprehension A fixed wedge with both surface inclined at \( 45^{\circ} \) to the horizontal as ...

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Comprehension
A fixed wedge with both surface inclined at \( 45^{\circ} \) to the horizontal as shown in the figure. A particle \( P \) of mass \( m \) is held on the smooth plane by a light string which passes over a smooth pulley \( A \) and attached to a particle \( Q \) of mass \( 3 \mathrm{~m} \) which rests on the rough plane. The system is released from rest. Given that the acceleration of each particle is of magnitude \( \frac{g}{5 \sqrt{2}} \) then
The tension in the string is:
(a) \( \mathrm{mg} \)
(b) \( \frac{6 m g}{5 \sqrt{2}} \)
(c) \( \frac{m g}{2} \)
(d) \( \frac{m g}{4} \)
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