A system of two blocks \( A \) and \( B \) are connected by an inextensible massless string as s...

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A system of two blocks \( A \) and \( B \) are connected by an inextensible massless string as shown in figure. The pulley is massless and frictionless. Initially, the system is at rest. A bullet of mass \( m \) moving with a velocity \( u \) as shown hits block \( B \) and gets embedded into it. The impulse imparted by tension force to the block of mass \( 3 \mathrm{~m} \) is
(1) \( \frac{5 m u}{4} \)
(2) \( \frac{4 m u}{5} \)
(3) \( \frac{2 m u}{5} \)
(4) \( \frac{3 m u}{5} \)
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