Electric potential in a space is given by `V=(10x^(2)+10y^(2)+20z^(2))` volt, then which of following option(s) is/are correct (x,y & z are coordinates in meter.)

Options

A. electric field in space is non-uniform
B. electric field and potential both are zero at origin
C. equipotential surface in the space having shape of a sphere for which centre is at origin
D. work done in moving a charge from (0.1m, 0, 0) to (0, 0.1m, 0) due to electric field must be zero

Answer

A, B, D

Explanation

`vecE=(-20xhati-20yhatj-40zhatk)((N)/(m))`
Since V at `(0.1,0,0)` and at `(0,0.1,0)` is same
so `W_(e)=0`