# Manometer tube – problems and solutions

1. A manometer tube is filled with two type of liquids. The density of liquid 1 is ρ_{1} = 0.8 g.cm^{-3}, and the density of liquid 2 is ρ_{2} = 1 g.cm^{-3}, and height h_{1} = 10 cm, then what is the height of h_{2}.

__Known :__

Density of liquid 1 = 0.8 g.cm^{-3}

Density of liquid 2 = 1 g.cm^{-3}

Height 1 = 10 cm

__Wanted:__ Height 2

__Solution :__

2. The height of the water is 50 cm, and the height of another liquid is 30 cm. What is the density of another liquid?

__Known :__

Acceleration due to gravity (g) = 10 m/s^{2}

The height of water (h_{1}) = 50 cm

Density of water (ρ_{1}) = 1.00 x 10^{3} kg/m^{3 }= 1000 kg/m^{3}

Height of another liquid (h_{2}) = 30 cm

__Wanted :__ The density of another liquid.

__Solution :__

pa + ρ_{1} g h_{1} = pa + ρ_{2 }g h_{2}