A submarine is designed to withstand an absolute pressure of 100 atm. How deep can it go below the water surface? (Consi…
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A submarine is designed to withstand an absolute pressure of 100 atm. How deep can it go below the water surface?
(Consider the density of water = 1000 kg m–3, 1 atm = 1 × 105 Pa and gravitational acceleration g = 10 m/s2)
✓ Correct answer: d)
990 m
Explanation
At depth h,
\({P}_{\text{absolute}}={P}_{\text{atm}}+\rho gh\)
Given:
\(100\text{atm}=1\text{atm}+\rho gh\)
\(\rho gh=99\text{atm}=99\times {10}^{5}\text{Pa}\)
\(h=\frac{99\times {10}^{5}}{1000\times 10}=990\text{m}\)
So, maximum depth = \(990\text{m}\).
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