The binding energy of a system of earth and its satellite orbiting round the earth in a circular orbit is E. If m of that satellite, its linear speed in that orbit is

Options

A. `2E//m`
B. `E//m`
C. `sqrt(2E//m)`
D. `sqrt(E//m)`

Answer

c

Explanation

`E=(GMm)/(2r)=(1)/(2)mv_(e)^(2)`
`v_(c)^(2)=(2E)/(m)`
`therefore" "v_(c)=sqrt((2E)/(m)).`