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For an infinite line of charge having charge density $\lambda $ lying along $x-$ axis, the work required in moving charge $q$ from $C$ to $A$ along arc $CA$ is :-

• ✓
  $\frac{{q\lambda }}{{\pi {\varepsilon _0}}}{\log _e}\sqrt 2 $
• B
  $\frac{{q\lambda }}{{4\pi {\varepsilon _0}}}{\log _e}\sqrt 2 $
• C
  $\frac{{q\lambda }}{{4 \pi {\varepsilon _0}}}{\log _e} 2 $
• D
  $\frac{{q\lambda }}{{2\pi {\varepsilon _0}}}{\log _e}\frac{1}{2}$