Q.

A body at rest explodes in to two fragments ratio of whose masses is 1 : 4. If kinetic energy of the lighter mass is 12 Joule, what is the kinetic energy of the heavier mass?

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a

6 J

b

8 J

c

3 J

d

4 J

answer is C.

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Detailed Solution

m1:m2=1:4 By conservation of momentum p1=p2Now p122m1=12 J. So kinetic energy is inversely proportional to mass. k1k2=m2m1 12k2=41   k2=3J
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A body at rest explodes in to two fragments ratio of whose masses is 1 : 4. If kinetic energy of the lighter mass is 12 Joule, what is the kinetic energy of the heavier mass?