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A well 1km deep is filled with a liquid of dens... - JAMB Physics 2019 Question

A well 1km deep is filled with a liquid of density 950kg/m\(^3\) and g = 10m/s\(^2\), the pressure at the bottom of the well is

A

9.6 × 10\(^6\)N/m\(^2\)

B

9.5 x 10\(^5\)N/m\(^2\)

C

9.4 x 10\(^6\)N/m\(^2\)

D

9.5 x 10\(^6\)N/m\(^2\)

correct option: a

P = Pa + ρgh

= (1.00 × 10\(^5\)) + (950 × 10 × 1000)


P = 10\(^5\) + (95 × 10\(^5\)) = 10\(^5\)(1 + 95) = 96 × 10\(^5\)
P = 9.6 × 10\(^6\) N/m\(^2\)

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