An asteroid orbiting around a planet in circular orbit suddenly explodes into two fragments in mass ratio `1: 4` If immediately after the explosion, the smaller fragment starts obriting the planet in reverse direction in the same orbit, what will happen with the heavier fragment?

Options

A. Fall on the planet
B. Start orbiting the planet in a larger orbit
C. It’ s Angular momentum remains conserve during motion
D. Escape from the gravitational interaction with the planet

Answer

C, D

Explanation

`=p_(i)=p_(f)`
`5mv=-mv+4mv^(')`
` v^(')= (3)/(2)v=(3)/(2) sqrt((GM)/(r ))gt sqrt((2GM)/(r ))`
`v'` is greater than escape velocity so the heavier fragment will escape from the gravitational interaction with the planet