Two particles A and B , each carrying charge Q are held fixed with a separation D between them. A particle C having mass m and charge q is kept at the middle point of the line AB. If particle C is displaced through a distance x along the line AB. What will be the time period of the oscillations.

Explanation

To find the time period of oscillations of particle C, we can follow these steps:

### Step 1: Understand the Configuration
We have two fixed charges, A and B, each with charge \( Q \), separated by a distance \( D \). The charge \( C \) with mass \( m \) and charge \( q \) is initially placed at the midpoint between A and B, which is at a distance of \( \frac{D}{2} \) from both A and B.

### Step 2: Displacement of Charge C
When charge C is displaced by a distance \( x \) along the line AB, the new distances from A and B become:
- Distance from A: \( \frac{D}{2} + x \)
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