Find the gravitational potential at a point where the gravitational field intensity is zero due to two particles of masses `m_(1)=1kg` and `m_(2)=4kg` separated through a distance `l=3m` ?

Explanation

To find the gravitational potential at a point where the gravitational field intensity is zero due to two particles of masses \( m_1 = 1 \, \text{kg} \) and \( m_2 = 4 \, \text{kg} \) separated by a distance \( l = 3 \, \text{m} \), we can follow these steps:

### Step 1: Understand the condition for zero gravitational field intensity
The gravitational field intensity \( g \) at a point due to two masses will be zero when the gravitational forces due to both masses are equal in magnitude but opposite in direction.

### Step 2: Set up the distances
Let the point where the gravitational field intensity is zero be at a distance \( r_1 \) from mass \( m_1 \) and \( r_2 \) from mass \( m_2 \). Since the total distance between the two masses is \( l = 3 \, \text{m} \), we have:
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