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QNEET-2022-Ph-429: NEET 2022 Physics - Class 11 NEET-2022-Ph-429 Solution: A shell of mass m is at rest initially. It explodes into three…

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:

v

\sqrt{2}v

2\sqrt{2}v

\sqrt{3}v

Multiple Choice Options

A v
B $\sqrt2$ 2 _ v
C 2 $\sqrt2$ 2 _ v
D 3 $\sqrt2$ 2 _ v

Step-by-Step Verified Solution

Momentum of the system would remain conserved. Initial momentum = 0 Final momentum should also be zero. Let masses be 2m, 2m and m Momentum along x-direction = 2mv i ^ Momentum along y-direction = 2mv j ^ Net momentum = ( 2 m v ) 2 + ( 2 m v ) 2 = 2 . 2 mv Now, 2 2 mv = mv' v' = 2 2 v

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