In a certain region of space, the gravitational field is given by `-k//r`, where `r` is the distance and `k` is a constant. If the gravitational potential for the gravitational potential `V`?

Options

A. `k log(r//r_(0))`
B. `k log (r_(0)//r)`
C. `V_(0)+klog(r//r_(0))`
D. `V_(0)+klog(r_(0)//r)`

Answer

C

Explanation

Here, `I=-(dV)/(dr)=-k//r` or `dV=k(dr)/r` then integrated and substitute the limits