Question

In a U tube manometer filled with mercury and measuring the pressure of air in a container, the difference in height of the two columns is 12 cm. If the specific weight of mercury is 13.6 kg/liter, then what is the pressure measured by the manometer? (g = 10 m/sec²)
1. 0.1512 bar
2. 0.1632 bar
3. 16320 bar
4. 0.1005 bar

Answer 1

Correct Answer - Option 2 : 0.1632 bar

 

Concept:

Pressure intensity at any point in a fluid, P = ρ×g×h

Where,

ρ = mass density of fluid which is assumed to be constant along with the depth, g = acceleration due to gravity, h = height of fluid measured from the free surface.

1 litre = 10^-3 m³

1 pascal = 10⁵ bar

Calculation:

Given:

S = 13.6 kg/liter, ρ = 13.6 × 10³ kg/m³, h = 12 cm = 0.12 m

P = ρ×g×h = 13600 × 0.12 × 10 = 16320 pascal = 0.1632 bar