Question

What is the pressure at the bottom of these ocean at a place where it is 3 km deep? [atmospheric pressure = $1.01\times {10}^5$ pa. Density of sea water = 1030 kg $m^{-3}$]

• A. $1.01\times {10}^5$ Pa
• B. $3\times {10}^3$Pa
• C. $1.01\times {10}^7$ Pa
• D. $3\times {10}^7$ Pa

Answer 1

The correct option is D $3\times {10}^7$ Pa

Given,

Atmospheric pressure,$P_{atm}=1.01\times {10}^{5}pa$

Density of water, $\rho =1030kg{m}^{-3}$

Depth, $h=3000km$

Total pressure, $P$

$P=P_o+\rho gh$

$P=1.01\times {10}^5+1030\times 10\times 3000$

$P=310.01\times {10}^{5}Pa$

Hence, pressure at depth $3km$ is $3\times {10}^{7}Pa$