The electric potetnial in a region along x-axis varies with `x` according to the releation `V(x) = 4 xx 5x^(2)`. Then the incorrect statement is

Options

A. `(i),(ii),(iii)`
B. `(i),(iii),(iv)`
C. `(i),(ii),(iv)`
D. `(ii),(iii),(iv)`

Answer

1

Explanation

`V = 4 + 5x^(2)`
(i) `x = 1 , V_(1) = 9`
`x = -2 , V_(2) = 24`
`V_(2) - V_(1) = 15 V` , (i) is `O.K.`
(ii) `E_(x) = -(dV)/(dx) = -10 x`
at `x = -1 m , E = 10 NC`
`F = qE = 1 xx 10 = 10 N`
(ii) is `O.K.`
(iii) `vec(F) = q vec(E ) = - 10 x hat(i) = 10 hat(i) N`
(iii) is `O.K.`