Advertisements
Advertisements
Question
If the density of ice is 0.9 g cm-3, then what portion of an iceberg will remain below the surface of water in sea? (Density of sea water = 1.1 g cm-3)
Advertisements
Solution
Density of ice (ρ1)= 0.9 gcm-3
Density of sea water (ρs) = 1.1 gcm-3
Let the total volume of the iceberg be V and the volume of immersed portion be v.
According to the law of floatation,
`"v"/"V" = ρ_1/ρ_s`
or , `"v"/"V" = 0.9/1.1 = 9/11`
or , v = `9/11`V
Thus , ice floats with `9/11`th part of its volume above the surface sea water.
RELATED QUESTIONS
Define the term density.
Complete the following sentence.
Density of water is .... ... kg m-3.
A piece of iron weighs 44.5 gf in air. If the density of iron is 8.9 × 103, find the weight of iron piece when immersed in water.
A jeweller claims that he makes ornaments of pure gold that has a relative density of 19.3. He sells a bangle weighing 25.25 gf to a person. The clever customer weighs the bangle when immersed in water and finds that it weighs 23.075 gf in water. With the help of suitable calculations, find out whether the ornament is made of pure gold or not.
[Hint : calculate R.D. of material of bangle which comes out to be 11.6].
Explain the following :
An egg sinks in fresh water, but floats in a strong salt solution.
Explain the following :
A balloon filled with hydrogen rises to a certain height and then stops rising further.
Write the SI units of Relative density
Complete the following result:
The density of water is ______ Kgm-3.
