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A fly, symmetrical sector of arc length a and radius 3a, mounted on the vertical axis. A charge q is placed at height 4a from the centre along its axis. The flux that passes through fly would be

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$\frac{q}{4 π ε_{0}}$

$\frac{q}{π ε_{0}}$

$\frac{q}{60 π ε_{0}}$

$\frac{9 q}{4 π ε_{0}}$

answer is B.

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Detailed Solution

$θ= \frac{a}{3a} rad = \frac{1}{3} rad ϕ = \frac{q}{2 ε} (1 - \cos 37) \times \frac{1}{2 π} \times \frac{1}{3} = \frac{q}{2 ε_{0} λ 6 π} (\frac{1}{5}) ϕ = \frac{q}{60 π ε_{0}}$

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