Choose the incorrect statement out of the following.

Options

A. `(1)/(4pi in_(0)) q^(2)/d^(2)`
B. `-(1)/(4pi in_(0)) q^(2)/(2d^(2))`
C. `(1)/(4pi in_(0)) q^(2)/(2d)`
D. `-(1)/(4pi in_(0)) q^(2)/(4d)`

Answer

D

Explanation

Potential energy`=-int vec(F).dvec(r)`
`=+ underset(oo)overset(d)(int)q^(2)/(4pi in_(0) (2r)^(2)) dr=-(1)/(4pi in_(0))q^(2)/(4d)`
Note : Here potential energy `ne-1/(4pi in_(0))q^(2)/(2d)` because it is not an electrostatic field.