# A charge Q is uniformly distributed over a long rod AB of length L as shown in the figure.

Question:

A charge $\mathrm{Q}$ is uniformly distributed over a long rod $\mathrm{AB}$ of length $\mathrm{L}$ as shown in the figure. The electric potential at the point $\mathrm{O}$ lying at a distance $\mathrm{L}$ from the end $\mathrm{A}$ is :--

1. $\frac{Q}{8 \pi \epsilon_{0} L}$

2. $\frac{3 \mathrm{Q}}{4 \pi \epsilon_{0} \mathrm{~L}}$

3. $\frac{Q}{4 \pi \epsilon_{0} L \ln 2}$

4. $\frac{\mathrm{Q} \ln 2}{4 \pi \epsilon_{0} \mathrm{~L}}$

Correct Option: , 4

Solution: