A bomb of mass m is moving in x direction with velocity u when it separates into masses 
m and 
m moving horizontally in the same plane. If an additional energy of Amu 1 is generated, the relative speed of two masses is
Text Solution
Verified by ExpertsThe correct answer is:
C
By conservation of momentum
mu = 
or 3u = u 1 + 2u 2 ………. (i)
also, additional energy
= 
or 4mu 2 = 
+ 
- 
or 24mu 2 = mu 1 2 + 2mu 2 2 – 3mu 2
or 27mu 2 = mu 1 2 + 2mu 2 2
Solving (i) and (ii) u 1 = 5u and u 2 = -u
∴ ∴ Relative velocity = 5u - (-u) = 6u
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