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An uniformly long straight wire is uniformly charged. A point P lies at a perpendicular distance r from it. Then

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The electric field varies as $\frac{1}{r^{2}}$

The electric field is perpendicular to the wire.

The electric field varies as $\frac{1}{r}$

The electric field lines are parallel and equidistant straight lines perpendicular to the wire.

answer is A, D.

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Detailed Solution

For a infinitely charged linear charge distribution, the electric field at 'P' is given by $\vec{E} = \frac{λ \hat{n}}{2 {πϵ}_{0} r}$
Where ' $λ$ ' is the linear charge density and $\hat{n}$ is a unit vector perpendicular to the wire.

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