**Solution:**

To determine the tension at point P, we need to consider the forces acting on the system.

1. **Weight of the block:**
The weight of the block is given by the formula:
Weight = mass * acceleration due to gravity = m * g
where m is the mass of the block and g is the acceleration due to gravity.

2. **Force applied at the free end:**
A force F is applied at the free end of the chain.

3. **Tension in the chain:**
The tension in the chain varies along its length. At the free end, the tension is equal to the force applied (F). At the point P, the tension can be determined using the principle of equilibrium.

4. **Equilibrium at point P:**
At point P, the forces acting on the system are:
- The force F applied at the free end.
- The weight of the block acting downwards.
- The tension in the chain acting upwards.

Since the system is in equilibrium, the sum of the forces in the vertical direction is zero.

F - Tension - Weight = 0

Rearranging the equation, we get:

Tension = F - Weight

5. **Calculating the weight of the block:**
The weight of the block is given by the formula:
Weight = mass * acceleration due to gravity = m * g

6. **Substituting the values:**
Substituting the weight of the block into the equation for tension, we have:

Tension = F - m * g

7. **Simplifying the equation:**
Since the mass of the block is equal to the mass of the chain, we can rewrite the equation as:

Tension = F - m * g

8. **Result:**
The tension at point P, which is a quarter of the length of the chain from the free end, is given by the equation:

Tension = F - m * g

This equation shows that the tension at point P depends on the force applied at the free end and the weight of the block. The tension will be greater if the force applied is larger or if the weight of the block is smaller.