A charge `+Q` is fixed at the origin of the co-ordinate system while a small electric dipole of dipolement `vecp` pointing away from the charge along the x-axis is set free from a point far away from the origin.
(a) Calculate the K.E. of the dipole when it reaches to a point (d, 0).
(b) Calculate the force on the charge `+Q` at this moment.

Options

A. `3/(4piepsilon_0)(pq)/(d^2)`
B. `3/(2piepsilon_0)(pq)/(d^2)`
C. `1/(2piepsilon_0)(pq)/(d^2)`
D. `1/(4piepsilon_0)(pq)/(d^2)`

Explanation

To solve the problem, we will break it down into two parts as specified in the question.

### Part (a): Calculate the K.E. of the dipole when it reaches a point (d, 0).

1. **Understanding the Potential Due to the Dipole**:
The potential \( V \) due to an electric dipole at a distance \( r \) is given by:
\[
V = \frac{1}{4 \pi \epsilon_0} \frac{\vec{p} \cdot \hat{r}}{r^2}
...