A U-tube contains water and methylated spirit separated by mercury. The mercury columns in the two arms are in level with 10.0 cm of water in one arm and 12.5 cm of spirit in the other. What is the specific gravity of spirit ?

Question

The volume contraction of a solid copper cube of edge length 10 cm, when subjected to a hydraulic pressure of \( 7 \times 10^6 \) Pa, would be ________________________ mm\(^3\). (Given bulk modulus of copper = \( 1.4 \times 10^{11} \) N m\(^{-2}\))

Answer 1

The given system of water, mercury, and methylated spirit is shown as follows :

U-tube contains water and methylated spiri

Height of the spirit column, h₁= 12.5 cm = 0.125m
Height of the water column, h₂ = 10 cm = 0.1 m
P₀ = Atmospheric pressure
ρ₁ = Density of spirit
ρ₂ = Density of water
Pressure at point B = P₀ + h₁ρ₁g
Pressure at point D = P₀ + h₂ρ₂g
Pressure at points B and D is the same.
P₀ + h₁ρ₁g = h₂ρ₂g

\(= \frac{ρ_1 }{ ρ_2} = \frac{h_2 }{ h_1} \)

\(=\frac{ 10 }{ 12.5 }= 0.8\)

Therefore, the specific gravity of spirit is 0.8.

A U-tube contains water and methylated spirit separated by mercury. The mercury columns in the two arms are in level with 10.0 cm of water in one arm and 12.5 cm of spirit in the other. What is the specific gravity of spirit ?

Solution and Explanation

Top Questions on Pressure

Questions Asked in CBSE Class XI exam