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A stationary body explodes into two fragments of masses m1 and m2 . If the momentum of one fragments is P, the energy of explosion is

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a

p22(m1+m2)

b

p22m1m2

c

p2(m1+m2)2

d

p2(m1+m2)2(m1m2)

answer is D.

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Detailed Solution

By Law of Conservation of Momentum, both pieces must have the same momentum. Since, one piece has momentum P, so other must posses the same value of momentum. If E is Energy of explosion, then E=P22m1+P22m2 ⇒E=P2(m1+m2)2m1m2

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