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ABCD is a square of side Length l and O is its centre. The line OP is perpendicular to the plane of the square and OP= l/2. A point charge Q is placed at point P. Then electric flux through the square ABCD is

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$\frac{Q}{ε_{0}}$

$\frac{Q}{8 ε_{0}}$

$\frac{Q}{4 ε_{0}}$

$\frac{Q}{6 ε_{0}}$

answer is D.

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Detailed Solution

(4)

Construct a cube of length ‘l’ Point P is the centre of cube. Charge Q is placed at P.

$∴$ Flux through 6 faces of the cube = $\frac{Q}{ε_{0}}$

$∴$ Flux through each face = $\frac{a}{6 ε_{0}}$

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