Multiple choice

In the inclined manometer shown in the figure below, the reservoir is large. Its surface may be assumed to remain at a fixed elevation. A is connected to a gas pipeline and the deflection noted on the inclined glass tube is 100 mm. Assuming $\theta$= 30o and the manometric fluid as oil with specific gravity of 0.86, the pressure at A is

  1. 43 mm water (vacuum)

  2. 43 mm water

  3. 86 mm water

  4. 100 mm water
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

 $\text{height of manometer fluid in the manometer} \\ \hspace{2cm} = 100 \times sin 30^0 = 50 mm\\ \text{as per Pascal's law}\\ P_A = P_B = \rho gh = 0.86 \times 50 \times 1 = 43 mm \hspace{0.2cm}\text{of water}$

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