An electric dipole consists of two opposite charges each of magnitude 1 mC separated by 2 cm. The dipole is placed in an external uniform field of `10^5 NC^-1` intensity. Find the
a. maximum torque exterted by the field on the dipole, and
b. work done in roating the dipole through `180^(@)` starting from the position `theta = 0^(@)`.

Explanation

To solve the problem step by step, we will break it down into two parts: (a) finding the maximum torque exerted by the field on the dipole, and (b) calculating the work done in rotating the dipole through 180 degrees.

### Part (a): Maximum Torque

1. **Identify the given values:**
- Charge (q) = 1 mC = \(1 \times 10^{-3}\) C
- Separation distance (2a) = 2 cm = \(2 \times 10^{-2}\) m
- External electric field (E) = \(10^5\) N/C
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