Figure shows a positively charged infinite wire. A particle of charge \( 2 C \) moves from point \( A \) to B with constant speed. (Given linear charge density on wire is \( \left.\lambda=4 \pi \varepsilon_{0}\right) \)
(A) work done by external agent \( =4 \ln 2 \)
(B) work done by electric force \( =-2 \ell_{ n } 2 \)
(C) work done by electric force \( =4 \ln 2 \)
(D) \( V _{ A }- V _{ B }=2 \ln 2 \)