How does the number of electric field lines p | vedclass

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(C) The number of electric field lines passing through a unit area held perpendicular to the field is a measure of the electric field intensity $(E)$.

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It is inversely proportional to the square of the distance $(r^2)$.

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(C) The number of electric field lines passing through a unit area held perpendicular to the field is a measure of the electric field intensity $(E)$.For a point charge $(q)$,the electric field intensity at a distance $(r)$ is given by Coulomb's Law as $E = \frac{1}{4\pi\epsilon_0} \frac{q}{r^2}$.Since the density of field lines is proportional to the magnitude of the electric field $(E \propto 	ext{density of lines})$,it follows that the number of field lines per unit area is inversely proportional to the square of the distance from the point charge $(r^2)$.

How does the number of electric field lines passing through a unit area depend on the distance from a point charge?

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