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A bomb of 12 kg explodes into two pieces...

A bomb of 12 kg explodes into two pieces of masses 4 kg and 8 kg . The velocity of 8 kg mass is 6 m / sec . The kinetic energy of the other mass is

A

240J

B

320J

C

288J

D

160J

Text Solution

Verified by Experts

The correct Answer is:
C
The realtion between momentum (P) and kinetic energy (K) is given by `P=sqrt(2mK)`
Since the K.E. of the two masses are equal `P alpha sqrtm`
`therefore P_(1)/P_(2)=sqrt((m_(1))/m_(2))= sqrt(1/9) =1/3`
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