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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