Where would the pressure of sea water be maximum?

Options

A. Below 100 metres from the surface.
B. Below 80 metres from the surface.
C. Below 105 metres from the surface.
D. Below 10 metres from the surface.

Answer

To determine where the pressure of sea water is maximum, we can follow these steps:

### Step 1: Understand the Concept of Pressure
Pressure is defined as the force applied per unit area. In the context of fluids, pressure increases with depth due to the weight of the fluid above.

### Step 2: Use the Pressure Formula
The formula for pressure in a fluid at a certain depth is given by:
\[ P = \rho \cdot g \cdot h \]
Where:
- \( P \) = Pressure
- \( \rho \) = Density of the fluid (for sea water, approximately 1025 kg/m³)
- \( g \) = Acceleration due to gravity (approximately 9.81 m/s²)
- \( h \) = Depth of the fluid

### Step 3: Analyze the Given Depths
We need to compare the pressure at different depths:
- 10 meters
- 80 meters
- 100 meters
- 105 meters

### Step 4: Calculate the Pressure at Each Depth
Using the formula \( P = \rho \cdot g \cdot h \), we can see that pressure increases linearly with depth. Therefore, we can conclude that:
- At 10 meters: \( P = \rho \cdot g \cdot 10 \)
- At 80 meters: \( P = \rho \cdot g \cdot 80 \)
- At 100 meters: \( P = \rho \cdot g \cdot 100 \)
- At 105 meters: \( P = \rho \cdot g \cdot 105 \)

### Step 5: Determine the Maximum Pressure
Since pressure increases with depth, the maximum pressure will be at the greatest depth. Among the given options, 105 meters is the deepest.

### Conclusion
The pressure of sea water would be maximum at **105 meters** below the surface.

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