The gravitational potential in a region is given by V = (3x + 4y + 12z)Jkg. The modulus of the gravitational field at (x = 1, y = 0, z = 3) is
I=−(δvδx^i+δvδy^j+δvδz^k)=−(3^i+4^j+12^k)[As V=(3x+4y+12z)(given)]
It is uniform field Hence its value is same every where |I|=√32+42+122=13 Nkg−1