the electric potential in the region of space is given by :`V(x)=A+Bx+Cx^(2)` where `V` is in volts,`x` is in meters and `A,B,C` are constants.Then,

Options

A. `vec(E)` varies linearly with `x`
B. the unit of `vec(E)` is `N//C`
C. `vec(E)` is in the negative x-direction.
D. the electric field `vec(E)` in this region is constant

Answer

A,B,C

Explanation

`1E=-(DeltaV//Deltax)=-B-2Cx`
i.e, `E` varies lineraly with `x` and is along negative x-direction .It is also clear that `B` has got dimensions or units of `E` i.e, `NC^(-1)`