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 relative density of spirit?

Solution

Given,
The level of mercury column with water in one arm, hw = 10cm
Level of mercury column with sirit on the other arm, h_s = 12.5cm

Also, mercury columns in two arms are in level.

Therefore, pressure due to 10 cm of water = pressure due to 12.5 cm of spirit.

i . e . 10 ρ_{w} g = 12.5 ρ_{s} g or \frac{ρ_{s}}{ρ_{w}} = \frac{10 σ}{12.5} = 0.8 ∴ 0.8 i s t h e r e l a t i v e d e n s i t y .

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Mechanical Properties Of Fluids

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 relative density of spirit?

Some More Questions From Mechanical Properties of Fluids Chapter

What is an ideal liquid?

Do liquids exert pressure?

Define pressure.

What is the direction of pressure?

What is the direction in which pressure exerts force on the walls of a container?

What is the SI unit of pressure?

You have two identical glass flasks. One is open mouthed and other is filled with helium and sealed. Which of the two will weigh more?

A cylinder of length l and area of cross section a is filled with liquid of density ρ to a height h. What is the pressure at the bottom due to height column of liquid?

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