A particle is placed in a field characterized by a value of gravitational potential given by `V=-kxy`, where `k` is a constant. If `vec(E)_(g)` is the gravitational field then

Options

A. `vecE_(g)=k(xhati+yhatj)` and is conservation in nature
B. `vecE_(g)=k(yhati+xhatj)` and is conservation in nature
C. `vecE_(g)=k(x hati+yhatj)` and is non conservation in nature
D. `vecE_(g)=k(yhati+xhatj)` and is non conservatiion in nature

Answer

B

Explanation

`E_(g)=(-(del)/(delx)hati-(del)/(dely)hatj)(-kxy)`