Advertisements
Advertisements
प्रश्न
The density of ice is 0.92 g cm-3 and that of sea water is 1.025 g cm-3. Find the total volume of an iceberg which floats with its volume 800 cm3 above water.
Advertisements
उत्तर
Let V be the volume of the iceberg.
Volume of iceberg above water = 800 cm3
Volume of iceberg submerged in water = v
Density of ice (ρice) = 0.92 g cm-3
Density of sea water `(ρ_"sea water")` = 1.025 gcm-3
According to the law of floatation,
`"Volume of immersed part of body"/"Total volume of body" = "Density of body"/"Density of liquid"`
`v/"V" = ρ_"ice"/ρ_"seawater"`
⇒ `v/"V" = 0.92/1.025`
⇒ `v/"V" = 0.92/1.025`
⇒ `v/"V"` = 0.8976
⇒ `v` = 0.89756 V
Now,
∴ Floating Volume of iceberg = V - `v`
⇒ 800 = V - 0.89756 V
⇒ 800 = V(1 - 0.89756)
⇒ `800/0.10244` = V
⇒ V = 7809.45 cm3 ≈ 7809.5 cm3
APPEARS IN
संबंधित प्रश्न
Complete the following sentence :
An empty tin container with its mouth closed has an average density equal to that of a liquid. The container is taken 2 m below the surface of that liquid and is left there. Then the container will ____________ .
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 copper is 8.83 g cm-3. Express it in kg m-3.
Calculate the mass of air in a room of dimensions 4.5 m × 3.5 m × 2.5 m if the density of air at N.T.P. is 1.3 kgm-3 .
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].
A wooden cube of side 10 cm has mass 700 g. What part of it remains above the water surface while floating vertically on water surface?
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
An inflated balloon is placed inside a big glass jar which is connected to an evacuating pump. What will you observe when the evacuating pump starts working? Give a reason for your answer.
Select the correct option:
With the increase in the density of the fluid, the upthrust experienced by a body immersed in it:
A body weighs 300 gf in air and 280 gf when completely immersed in water. Calculate:
(i) The loss in weight of the body,
(ii) The upthrust on the body.
