Electric charge is uniformly distributed along a along straight wire of radius `1 mm`. The charge per centimeter length of the wire is `Q` coulomb. Another cyclindrical surface of radius `50 cm` and length `1 m` symmetrically enclose the wire ask shown in figure. The total electric flux passing through the cyclindrical surface is

Options

A. `(Q)/(epsi_(0))`
B. `(100Q)/(epsi_(0))`
C. `(10Q)/((piepsi_(0)))`
D. `(100Q)/((piepsi_(0)))`

Answer

B

Explanation

The outer cylinder acts as a Gaussian sur4face. The charge per cm of the wire=QC
`therefore`Charge enclosed by the cylinder of length,
`1m=100Q=q`
`therefore` By Gauss''s theorem`,phi=(q)/(epsi_(0))=(100Q)/(epsi_(0))`