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Q.

A bomb of mass 3m is initially at rest. Suddenly it explodes into two fragments, ratio of whose masses is 1 : 2. Energy released in the process is E and 75% of energy released appears as kinetic energy of the fragments, then kinetic energy of the smaller fragment is

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a

E2

b

3E4

c

E4

d

2E3

answer is A.

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Detailed Solution

If p be the magnitude of momentum of each fragment just after the explosion, Then p22m+p22(2m)=75100x E⇒3p24m=3E4⇒p22m=E2
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