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 $1\,m$ symmetrically encloses the wire as shown in the figure. The total electric flux passing through the cylindrical surface is
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 $1\,m$ symmetrically encloses the wire as shown in the figure. The total electric flux passing through the cylindrical surface is
- A
$\frac{Q}{{{\varepsilon _0}}}$
- B
$\frac{{100Q}}{{{\varepsilon _0}}}$
- C
$\frac{{10Q}}{{(\pi {\varepsilon _0})}}$
- D
$\frac{{100Q}}{{(\pi {\varepsilon _0})}}$
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