Advertisements
Advertisements
Question
A wooden cube of side 10 cm has a mass of 700 g. It will float in the water with:
(a) Half of its volume inside the water
(b) 3 cm height above the water surface
(c) 7 cm height above the water surface
(d) Just inside the water surface.
Advertisements
Solution
Side of wooden cube = 10 cm.
Volume of wooden cube = 10 × 10 × 10 = 1000 cm3.
Mass of wooden cube = 700 g.
Density of wooden cube = mass/volume = 700/1000 = 0.7 gcm-3.
Density of water = 1 gcm-3.
(Density of floating body / Density of liquid) = fraction submerged
0.7/1 =fraction submerged
The fraction of wooden cube submerged in water = 0.7
Height of wooden cube = 10 cm
Part of wooden cube which is submerged = 10 × 0.7 = 7 cm
So, a wooden cube will float in the water with a 3 cm height above the water surface.
APPEARS IN
RELATED QUESTIONS
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 ____________ .
Define the term density.
What are the units density in (i) C.G.S. and (ii) S.I. system .
A wooden block floats in water with two-third of its volume submerged.
(a) Calculate the density of wood.
(b) When the same block is placed in oil, three-quarters of its volume is immersed in oil. Calculate the density of oil.
A hollow cylinder of copper of length 25 cm and area of cross-section 15 cm2, floats in water with 3/5 of its length inside water. Calculate:
(1) apparent density of a hollow copper cylinder.
(2) wt. of cylinder.
(3) extra force required to completely submerge it in water.
When a piece of ice floating in water melts, the level of water inside the glass remains same. Explain.
Select the correct option:
With the increase in the density of the fluid, the upthrust experienced by a body immersed in it:
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 Density
Complete the following result:
S.l. unit of density is _________
