Find the binding energy of a satellite of mass `m` in orbit of radius `r`, (R = radius of earth, g = acceleration due to gravity)

Options

A. `mg R//2`
B. mg R
C. `(mgR)/(4)`
D. `(mgR)/(8)`

Answer

B

Explanation

The energy required to remove an object from the surface of the earth to infinity is called binding energy of the object. It is equal to negative of gravitational potential energy of the object
Thus, bindin energy `= -E=(GMm)/(R)`
but, `g=(GM)/(R^(2))rArrGM=gR^(2)rArr BE=(gmR^(2))/(R)=gmR`.