A reservoir manometer consists of a U -tube in which the two arms have different

Question

A reservoir manometer consists of a U -tube in which the two arms have different diameters, as shown in Figure 15-5. The diameter on the narrow side is 10.0 mm and the diameter on the reservoir side is 25.0 mm. The liquid in the manometer is oil with a density of 830 kg/m3 and the fluids in contact with the oil are gases of negligible density. The dotted line indicates the level of the oil when the pressures p_1 and p_2 are equal. What is the value ofh whenP_1 - P_2 = 1000 Pa? 9.81 cm 8.40 cm 12.3 cm 10.6 cm 13.2 cm

Explanation / Answer

According to bernoullie's theorem , the pressure difference between two levels is equal to its gravitational potential energy.

So, P1 - P2 = rho * g * h

where rho is the density of oil.

1000 = 830 * 9.8 * h

h = 1000/ ( 830 * 9.8 ) = 0.123 m = 12.3 cm

Hence option C is correct.

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