2026 Mechanical Properties of FluidsHydrostatic pressure with depth Medium Question 1 of 34 in Mechanical Properties of Fluids

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 = $1 \times 10^5$ Pa and gravitational acceleration $g = 10\ m/s^2$)

A 9900 m
B 99 m
C 9000 m
D 990 m

The answer is D.

Solution

Absolute pressure at depth h in water: $P = P_0 + h\rho g$ ($P_0$ = atmospheric pressure) $h = \frac{P - P_0}{\rho g} = \frac{(100 - 1) \times 10^5}{10^3 \times 10}$ h = 990 m

Mechanical Properties of Fluids in past papers

34 questions from this chapter have appeared across 14 exam years.