An insulated particle of mass `m` is moving in a horizontal plane (x - y) along X-axis. At a certain height above the ground, it suddenly explodes into two fragments of masses `m//4 and 3 m//4`. An instant later, the smaller fragment is at `Y = + 15`. The larger fragment at this instant is at :

Options

A. `Y = -5 cm`
B. `Y = + 20 cm`
C. `Y = + 5 cm`
D. `Y = -20 cm`

Answer

A

Explanation

(a) Initially Y-coordinate of centre of mass is zero. After explosion Y coordinate of centre of mass of the particles should be zero.
`(m)/(4)xx(15) -(3)/(4)m(Y) = 0 rArr Y = -5 cm`.