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Electric charge is uniformly distributed along a long straight wire of radius 1 mm. The charge per cm length of the wire is Q coulomb. Another cylindrical surface of radius 50 cm and length 1m symmetrically encloses the wire as shown in fig . The total electric flux passing through the cylindrical surface is

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$\frac{Q}{ε_{0}}$

$\frac{10 Q}{(π ε_{0})}$

$\frac{100 Q}{(π ε_{0})}$

$\frac{100 Q}{ε_{0}}$

answer is B.

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Detailed Solution

$λ = \frac{Q}{c m}$
$ϕ$ = $\frac{q_{m}}{ε_{0}}$ = $\frac{Q \times 100 c m}{ε_{0}}$

$ϕ = \frac{100 Q}{ε_{0}}$

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