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

Options

A. `(Q)/(epsilon_(0))`
B. `(100Q)/(epsilon_(0))`
C. `(10Q)/(pi epsilon_(0))`
D. `(100Q)/(pi epsilon_(0))`

Answer

B

Explanation

Charge per metre of the wire = 100 QC
According to Gauss.s law,
The total electric flux passing through the cylindrical surface is
`phi = (q_("enclosed"))/(epsilon_(0)) = (100 Q)/(epsilon_(0))`