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A diver is 10 m below the surface of water. The approximate pressure experienced by the diver is-
- a)105 Pa
- b)2 × 105 Pa
- c)3 × 105 Pa
- d)4 × 105 Pa
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A diver is 10 m below the surface of water. The approximate pressure ...
Explanation:
Pressure in a Fluid:
The pressure in a fluid (liquid or gas) increases with depth due to the weight of the fluid above. This is known as hydrostatic pressure. The pressure at any point in a fluid is equal in all directions and acts perpendicular to the surface. It can be calculated using the formula:
Pressure = Density × Acceleration due to gravity × Height
Where:
- Density is the density of the fluid
- Acceleration due to gravity is the acceleration experienced by the fluid due to gravity
- Height is the depth or height from the surface
Pressure Calculation for the Diver:
In this case, the diver is 10 m below the surface of the water. The pressure experienced by the diver can be calculated using the above formula.
Given:
Density of water = 1000 kg/m³ (approximate value)
Acceleration due to gravity = 9.8 m/s² (standard value)
Height = 10 m
Using the formula, we can calculate the pressure:
Pressure = Density × Acceleration due to gravity × Height
= 1000 kg/m³ × 9.8 m/s² × 10 m
= 98000 N/m² or 98000 Pa
Approximate Pressure:
The approximate pressure experienced by the diver is 98000 Pa. However, in the given options, none of them match this value exactly. We need to choose the closest option.
Among the given options, option 'B' is closest to the calculated pressure:
Option B: 2 × 10^5 Pa (200000 Pa)
While this value is not exact, it is the closest option to the calculated pressure of 98000 Pa. Therefore, the correct answer is option 'B' (2 × 10^5 Pa or 200000 Pa).
Pressure in a Fluid:
The pressure in a fluid (liquid or gas) increases with depth due to the weight of the fluid above. This is known as hydrostatic pressure. The pressure at any point in a fluid is equal in all directions and acts perpendicular to the surface. It can be calculated using the formula:
Pressure = Density × Acceleration due to gravity × Height
Where:
- Density is the density of the fluid
- Acceleration due to gravity is the acceleration experienced by the fluid due to gravity
- Height is the depth or height from the surface
Pressure Calculation for the Diver:
In this case, the diver is 10 m below the surface of the water. The pressure experienced by the diver can be calculated using the above formula.
Given:
Density of water = 1000 kg/m³ (approximate value)
Acceleration due to gravity = 9.8 m/s² (standard value)
Height = 10 m
Using the formula, we can calculate the pressure:
Pressure = Density × Acceleration due to gravity × Height
= 1000 kg/m³ × 9.8 m/s² × 10 m
= 98000 N/m² or 98000 Pa
Approximate Pressure:
The approximate pressure experienced by the diver is 98000 Pa. However, in the given options, none of them match this value exactly. We need to choose the closest option.
Among the given options, option 'B' is closest to the calculated pressure:
Option B: 2 × 10^5 Pa (200000 Pa)
While this value is not exact, it is the closest option to the calculated pressure of 98000 Pa. Therefore, the correct answer is option 'B' (2 × 10^5 Pa or 200000 Pa).
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Community Answer
A diver is 10 m below the surface of water. The approximate pressure ...
P = P0 + ρgh
Step 1: Put the values in above formula and find P.
= 105 + 103 × 10 × 10
= 2 × 105Pa
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