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A column of liquid 30 cm high supports a 60 cm column of water. What is the relative density of the liquid?

a. 0.5
b. 1.0
c. 1.5
d. 2.0

1 Answer

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The relative density of the liquid, given that it can support the column of water is a. 0.5

How to find the relative density ?

The pressure at a depth in a fluid is given by:

Pressure = Density × gravitational acceleration (g) × Height

For both the liquid and the water, the pressure is the same (since they are at the same depth), so we can set up an equation:

Density of the Liquid × g × 30 cm = Density of Water × g × 60 cm

Density of the Liquid × 30 cm = Density of Water × 60 cm

Find the relative density:

RD = Density of the Liquid / Density of Water = (30 cm / 60 cm)

= 0.5

In conclusion, the relative density of the liquid is 0.5. This means that the liquid is half as dense as water.

User Wilson F
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