Advertisements
Advertisements
Question
A piece of wax floats on brine. What fraction of its volume is immersed?
Density of wax = 0.95 g cm-3, Density of brine = 1.1 g cm-3.
Advertisements
Solution
Density of wax (`ρ_"w"`) = `0.95 "gcm"^-3`
Density of brine (`ρ_"B"`) = `1.1 "gcm"^-3`
Let the total volume of piece of wax be V and the volume of immersed portion be v .
According to the law of floatation ,
`"v"/"V" = ρ_"w"/ρ_"B"`
or , `"v"/"V" = 0.95/1.1 = 0.86`
or , v = 0.86 V
Thus , wax floats with 0.86th part of its volume above the surface brine .
APPEARS IN
RELATED QUESTIONS
A body of volume 100 cm3 weighs 5 kgf in air. It is completely immersed in a liquid of density 1.8 × 103 kg m-3. Find:
- The upthrust due to liquid and
- The weight of the body in liquid.
'The density of iron is 7800 kg m-3'. What do you understand by this statement?
Complete the following sentence.
Density of water is .... ... kg m-3.
Explain the following :
Toy balloons filled with hydrogen rise to the ceiling, but if they are filled with carbon dioxide, then they sink to the floor.
Explain the following :
As a ship in harbour is being unloaded, it slowly rises higher in water.
A block of wood of mass 24 kg floats on water. The volume of wood is 0.032 m3. Find:
- the volume of block below the surface of water,
- the density of wood.
(Density of water = 1000 kg m−3)
A cork cut in the form of a cylinder floats in alcohol of density 0.8 gcm-3, such that 3/4 of its length is outside alcohol. If the total length of the cylinder is 35 cm and area of cross-section 25 cm2, calculate:
(1) density of cork
(2) wt. of cork
(3) extra force required to submerge it in alcohol
A body of mass ‘m’ is floating in a liquid of density ‘p’
what is the apparent weight of body?
Select the correct option:
The ratio between the mass of a substance and the mass of an equal volume of water at 4°C is called:
Write the SI units of Weight of a body
