CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Density

When a cube o...

Question

When a cube of wood floats in water, 60% of its vol. is submerged. When the same cube floats in an unknown liquid 85% of its volume is submerged. Find the density of the wood and the liquid?

Open in App

Solution

Condition to float:

Weight of the cube = Weight of the liquid displaced by immersed portion

Case I:

Weight of wooden cube = Weight of water displaced by immersed portion

$ρ_{w o o d} V g = ρ_{w a t e r} (0.6 V) g ρ_{w o o d} = 0.6 ρ_{w a t e r} = 0.6 (1 g / c c) = 0.6 g / cc$

Case II:

Weight of wooden cube = Weight of liquid displaced by immersed portion

$ρ_{w o o d} V g = ρ_{l i q u i d} (0.8 V) g ρ_{w o o d} = 0.8 ρ_{l i q u i d} ρ_{l i q u i d} = \frac{ρ_{w o o d}}{0.8} = \frac{0.6}{0.8} = 0.75 g / cc$

Suggest Corrections

thumbs-up

0

Similar questions

Q. When a cube of wood floats in water, 60% of its volume is submerged. When the same cube floats in an unknown fluid 85% of its volume is submerged. Find the densities of wood and the unknown fluid.

Q. When a cube of wood floats in water,

60 %

of its volume is submerged. When the same cube floats in an unknown fluid,

85 %

of its volume is submerged. Then:

Q. A cube of wood floats in water, with

42

% of its volume is submerged, then the density of the wood is

Q. A block of wood floats in water with

{\frac{4}{5}}^{th}

of its volume submerged but in another liquid, it floats fully submerged. The density of the unknown liquid is (in

{kg/m}^{3}

)

Q. A block of wood floats in a liquid of density

0.8 g c m^{- 3}

with one fourth of its volume submerged. In oil the block floats with

60

% of its volume submerged. Find the density of (a) wood and (b) oil

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Distribution of Water on Earth II

SCIENCE

Watch in App

explore_more_icon

Explore more

Standard IV Science

Join BYJU'S Learning Program

CrossIcon