A shell of mass \( m \) is at rest initially. It explodes into thre...
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A shell of mass \( m \) is at rest initially. It explodes into three fragments having mass in the ratio \( 2: 2: 1 \). If the fragments having equal mass fly off along mutually perpendicular directions with speed \( v \), the speed of the third (lighter) fragment is :
(1) \( v \)
(2) \( 2 \sqrt{2} v \)
(3) \( \sqrt{2} v \)
(4) \( 3 \sqrt{2} v \)
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