Question

The direction of the gradient of a scalar field V gives the direction in which

(a) V increases at the highest rate

(b) V decreases at the highest rate

(c) V remains constant for small distances

(d) V changes its sign

(Note:- This question have one or more than one correct choice(s) out of the four given choices. Any number of options may be correct.)

Answer 1

The interpretation of mathematical definition of gradient is direction and rate of fastest increase. According to this, gradient of a scalar field V gives the direction in which V increases at the highest rate.

Answer: (a) V increases at the highest rate