JAMB Physics 2022 Paper

Concept:Pressure in a liquid is caused by the weight of the liquid column above that point, so it depends on depth, density, and gravitational acceleration.Explanation:Let the liquid pressure be $p$, density be $d$, gravitational acceleration be $g$, and depth be $h$.The pressure formula is $p = h d g$.Given: $p = 9100\ \mathrm{Nm^{-2}}$, $d = 2000\ \mathrm{kgm^{-3}}$, and $g = 10\ \mathrm{ms^{-2}}$.Make depth $h$ the subject of the formula: $h = \frac{p}{d g}$.Substitute the values into the equation: $$h = \frac{9100}{2000 \times 10}.$$Simplify the denominator: $2000 \times 10 = 20000$.So: $$h = \frac{9100}{20000} = 0.455\ \mathrm{m}.$$Answer:$0.455\ \mathrm{m}$