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A shell of mass \( 5 M \), acted upon by no external force and initially at rest, bursts into three fragments of masses \( M, 2 M \) and \( 2 M \) respectively. The first two fragments move in opposite directions with velocities of magnitudes \( 2 \mathrm{~V} \) and \( \mathrm{V} \) respectively. The third fragment will [WB-JEE 2013]
(a) Move with a velocity \( V \) in a direction perpendicular to the other two
(b) Move with a velocity \( 2 \mathrm{~V} \) in the direction of velocity of the first fragment
(c) Be at rest
(d) Move with a velocity \( V \) in the direction of velocity of the second fragment
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