Electric charge is uniformly distributed along a long straight wire of radius 1mm. 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 the figure. The total electric flux passing through the cylindrical surface is

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Qε0

100 Qε0

10 Q(πε0)

100 Q(πε0)

answer is B.

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Detailed Solution

Charge enclosed by cylindrical surface (length 100 cm) is Qenc=100 Q. By applying Gauss's law ϕ=1ε0(Qenc.)=1ε0(100Q)

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