A stationary particle explodes into two particles of masses m 1 and m 2 which move in opposite directions with velocities v 1 and v 2 . The ratio of their kinetic energies E 1 /E 2 is :-
Text Solution
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For a exploding body, linear momentum is conseved.
From conservation of linear momentum,
P initial = P final
0 = m 1 v 1 – m 2 v 2
or m 1 v 1 = m 2 v 2
or 
= 
........(i)
Thus, ratio of kinetic energies,
= 
Note: In a collision of two bodies whether it is perfectly elastic or inelastic, linear momentum is always conserved but kinetic energy need not be conserved.
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