Q.

A body of mass m moving with velocity v collides head on with another body of mass 2m which is initially at rest. The ratio of K.E. of colliding body before and after collision will be

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a

1 : 1

b

2 : 1

c

4 : 1

d

9 : 1

answer is D.

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Detailed Solution

K.E. of colliding body before collision =12mv2After collision its velocity becomesv'=(m1−m2)(m1+m2)v=m3mv=v3∴ K.E. after collision  12mv'2=12mv29Ratio of kinetic energy = K.E.beforeK.E.after=12mv212mv29=9:1
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