A reservoir 500m deep is filled with a fluid of density 850 kgm‾³. If the atmospheric pressure is 1.05 x 105 Nm‾²; the pressure at the bottom of the reservoir is. [g = 10ms‾²]

A. 4.72 x 10⁶ Nm^-2
B. 4.36 x 10⁶ Nm^-2
C. 4.28 x 10⁶ Nm^-2
D. 4.25 x 10⁶ Nm^-2

Correct Answer:

Option D = 4.25 x 10⁶ Nm^-2

Explanation

In general, pressure varies with depth in the relation p = lgh
= 850 x 10 x 500
= 4250000
= 4.25 x 10⁶ Nm^-2