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 answer is 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\(^2\)