A particle of mass m and charge q is suspended from a point A with a silk thread of length l. Another particle of charge `-q` is fixes at a distance I from the point A such that point A and the charge -q lie in same horizontal plane. If at equilibrium , the thread makes angle `30^(@)` with vertical, find the mass m and tension in the thread . ( Take acceleration due to gravity as g).

Explanation

To solve the problem, we need to analyze the forces acting on the charged particle of mass \( m \) and charge \( q \) suspended from point A. The particle is in equilibrium, making an angle of \( 30^\circ \) with the vertical due to the electrostatic force exerted by the fixed charge \( -q \).

### Step-by-Step Solution:

1. **Identify the Forces**:
- The gravitational force acting downward: \( F_g = mg \)
- The tension in the thread: \( T \)
- The electrostatic force between the two charges: \( F_e \)
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