JEE Main 2022 · 29 Jun · Shift 1 · Physics Q32

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PhysicsSingle correct+4 / -1Question 32 of 90

A body of mass M at rest explodes into three pieces, in the ratio of masses $1:1:2$ . Two smaller pieces fly off perpendicular to each other with velocities of 30 ms $^{-1}$ and 40 ms $^{-1}$ respectively. The velocity of the third piece will be :

15 ms

^{-1}

25 ms

^{-1}

35 ms

^{-1}

50 ms

^{-1}

Answer and worked solution

Official answer: B

Momentum. The small pieces carry $m\sqrt{30^2+40^2}=50m$ ; the piece of mass $2m$ balances it: $v=25$ m s $^{-1}$ .

(B)

Topics:Conservation of linear momentum

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JEE Main 2022 · 29 Jun · Shift 1, Physics question 32