Two long wires each oflength I are placed on a smooth horizontal table. Wires have equal but opposite charges. Magnitude oflinear charge density on each wire is `lambda`. Calculate the work required to increase the separation between the wires from a to 2a:

Options

A. `(lambda^(2) ln 2)/(4piepsilon_(0))`
B. `(lambda^(2))/(piepsilon_(0)) ln2`
C. `(lambda^(2))/(4piepsilon_(0)a)`
D. `(lambda^(2))/(2piepsilon_(0))ln 2`

Answer

d

Explanation

`W=int_(a)^(2a) (lambda. lambda dr)/(2pi epsilon_(0)r)=(lambda^(2))/(2piepsilon_(0)) ln 2`