Question
Download Solution PDFAt what depth from surface of water, the pressure will be equal to three times the atmosphere pressure? Given atmospheric pressure = 10 N/cm2 and g = 9.8 m/s2.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
- Gauge pressure inside the water at the depth of
m will be:
Pgauge = ρgh N/m2
- Derived using Bernoulli's equation
Calculation:
Given: Patm = 10 N/cm2 = 10× 104 N/ m2 , ρ = 1000 kg/m3, g = 9.8m/s2
Patm= 105Pa
- Now Pgauge should be equal to three times Patm
Pabs = Patm + Pgauge
⇒ 3 × Patm = Patm + ρgh
⇒ ρgh = 2× Patm
⇒ 1000 × 9.8 × h = 2 × 105
⇒ h = 20.4m
- Hence at the depth of 20.4m the pressure inside the water will be three times the atmospheric pressure.
Additional Information
- Gauge pressure or relative pressure (Pg) is the difference between the measured pressure and the local atmospheric pressure.
- Absolute pressure is the actual pressure at a point measured with respect to vacuum pressure i.e. zero pressure.
Last updated on Jun 19, 2025
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