If you dive to a depth of 10m below the surface of a lake,
Part A
what is the pressure due to the water alone?
What is the absolute pressure at that depth?
the water pond to be 2.7m deep. if the refractive index of water is 4/3,find the actual depth of the pond.
I don't know the ans
Pressure alone due to water would be10^5. And total pressure would be 2×10^5.
To calculate the pressure due to the water alone at a certain depth, you can use the formula for pressure:
Pressure (P) = ρgh
where:
- P is the pressure
- ρ is the density of the fluid (water for this case)
- g is the acceleration due to gravity
- h is the depth below the surface
Step-by-step calculation for Part A:
1. Determine the density of water at the given conditions. The density of pure water at a typical temperature is around 1000 kg/m³.
2. Determine the acceleration due to gravity, which is approximately 9.8 m/s² on Earth.
3. Calculate the pressure due to the water alone using the formula above:
P = ρgh
P = (1000 kg/m³) * (9.8 m/s²) * (10 m)
P = 98,000 Pascal (Pa)
Therefore, the pressure due to the water alone at a depth of 10m is 98,000 Pa.
Moving on to Part B, to calculate the absolute pressure at that depth, you need to consider the atmospheric pressure as well.
The absolute pressure is the sum of the pressure due to the water alone and the atmospheric pressure.
The atmospheric pressure at sea level is around 101,325 Pa.
Hence, the absolute pressure at a depth of 10m is:
Absolute Pressure = Pressure due to water alone + Atmospheric Pressure
Absolute Pressure = 98,000 Pa + 101,325 Pa
Absolute Pressure = 199,325 Pa
Therefore, the absolute pressure at a depth of 10m below the surface of the lake is 199,325 Pa.