A small circular membrane is 10cm below the surface of a ...
A small circular membrane is 10cm below the surface of a pool of mercury when the barometric height is 76 cm of mercury. If the density of mercury is 13600kgm−3, what is the pressure on the membrane in Nm−2? (g=10ms−2)
1.17 x 107 Nm-2
6.80 x 105Nm-2
1.17x105Nm-2
1.03 x 105Nm-2
1.36 x104 Nm-2
Correct answer is C
Pressure at a depth for fluid with constant density such as mercury is given as
p=p0+ρhg
where p0 = atmospheric pressure.
p0=ρhg=13600×76100×10
= 103,360Nm−2
p=103,360+(13600×10100×10)
p=103,360+13,600
p=116,960Nm−2≊
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