What is the pressure on a swimmer 20 , m belo | vedclass

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(D) The total pressure $P$ at a depth $h$ below the surface of a liquid is given by the formula: $P = P_0 + \rho gh$,where $P_0$ is the atmospheric pr

Vedclass · Accepted Answer

$3$

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(D) The total pressure $P$ at a depth $h$ below the surface of a liquid is given by the formula: $P = P_0 + ho gh$,where $P_0$ is the atmospheric pressure,$ho$ is the density of the liquid,$g$ is the acceleration due to gravity,and $h$ is the depth.Given:Atmospheric pressure $P_0 \approx 1.013 	imes 10^5 \, Pa$ (or $1 \, atm$).Density of water $ho = 1000 \, kg/m^3$.Acceleration due to gravity $g \approx 9.8 \, m/s^2$.Depth $h = 20 \, m$.Calculating the gauge pressure: $P_{gauge} = ho gh = 1000 	imes 9.8 	imes 20 = 1.96 	imes 10^5 \, Pa$.Since $1 \, atm \approx 1.013 	imes 10^5 \, Pa$,the gauge pressure in $atm$ is approximately $1.96 \, atm \approx 2 \, atm$.The total pressure $P = P_0 + P_{gauge} = 1 \, atm + 2 \, atm = 3 \, atm$.Therefore,the correct option is $D$.

What is the pressure on a swimmer $20 \, m$ below the surface of water in $atm$?

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