A point charge - \(\mathrm{q}\) is carried from a point \(A\) to another point \(B\) on the axis of a charged ring of radius ' \(r\) ' carrying a charge \(+\mathrm{q}\). If the point \(\mathrm{A}\) is at a distance \(\frac{4}{3} \mathrm{r}\) from the centre of the ring and the point \(\mathrm{B}\) is \(\frac{3}{4} \mathrm{r}\) from the centre but on the opposite side, what is the net work that need to be done for this?
(A) \(-\frac{7}{5} \frac{q^{2}}{4 \pi \varepsilon_{0} r}\)
(B) \(-\frac{1}{5} \frac{q^{2}}{4 \pi \varepsilon_{0} r}\)
(C) \(\frac{7}{5} \frac{q^{2}}{4 \pi \varepsilon_{0} r}\)
(D) \(\frac{1}{5} \frac{q^{2}}{4 \pi \varepsilon_{0} r}\)
Ans: (B)
