A well 1km deep is filled with a liquid of density 950kg/m³ and g = 10m/s², the pressure at the bottom of the well is

Correct Answer is : 9.6 × 106^66N/m2²2

Correct Answer is : 9.6 × 106^66N/m2²2

Test Index

JAMB Physics 2019 Paper

Question : 90

Total: 100

^3

^2

, the pressure at the bottom of the well is

Solution:

Concept:

The total pressure at the bottom is the sum of atmospheric pressure and the pressure exerted by the liquid column.

Explanation:

Convert the depth to metres:

h = 1\ \text{km} = 1000\ \text{m}

Use the fluid pressure formula:

P = P_{\text{atm}} + \rho g h

Substitute the given values:

P = 1.00 \times 10^5 + 950 \times 10 \times 1000

Calculate the liquid pressure:

950 \times 10 \times 1000 = 9.5 \times 10^6\ \text{N/m}^2

Add atmospheric pressure:

P = 0.1 \times 10^6 + 9.5 \times 10^6 = 9.6 \times 10^6\ \text{N/m}^2

Answer:

The pressure at the bottom of the well is

9.6 \times 10^6\ \text{N/m}^2

, which is option A.

Go to Question:

Prev Question

Next Question