A moving particle of mass m makes a head-on collision with a particle of mass 2 m initially at rest. If the collision is perfectly elastic, the percentage loss of energy of the colliding particle is

Options

A. `50% `
B. `66.7% `
C. `88.9% `
D. `100%`

Answer

C

Explanation

Percentage loss of energy `= (4mM)/((M + m)^2) xx 100 = (4m xx 2m)/((2m + m)^2) xx 100 = 800/9 = 88.9%`