Hydrostatics

Given,
Density of oil

%5Cleft(%5Crho_%7B1%7D%5Cright)%3D724%5C%2C%20kg%20%2F%20m%20%5E%7B3%7D

Density of water

%5Cleft(%5Crho_%7B2%7D%5Cright)%3D1000%5C%2C%20kg%20%2F%20m%20%5E%7B3%7D

According to Archemedes' principle,
Upthrust = Weight of the liquid displaced

V%20%5Crho_%7Bb%7D%20g%3DV_%7B0%7D%20%5Crho_%7B1%7D%20g%20%2BV_%7Bw%7D%20%5Crho_%7B2%7D%20g

%5Cleft(V_%7B0%7D%5Cright.

and

V_%7Bw%7D

are volume of oil and water displaced respectively)

V%20%5Crho_%7Bb%7D%20g%3D%5Cfrac%7BV%7D%7B6%7D(724)%20g%2B%5Cfrac%7B5%20V%7D%7B6%7D(1000)%20g

where,

%5Crho_%7Bb%7D%3D

density of block
and

V_%7B0%7D%20%3D%5Cfrac%7BV%7D%7B6%7D

and

V_%7Bw%7D%3D%5Cfrac%7B5%20V%7D%7B6%7D

%5CRightarrow%20V%20%5Crho_%7Bb%7D%20g%20%3D%5Cleft(%5Cfrac%7B724%20V%7D%7B6%7D%2B%5Cfrac%7B5000%20V%7D%7B6%7D%5Cright)%20g

%5CRightarrow%20V_%7Bb%7D%20g%20%3D%5Cleft(%5Cfrac%7B724%20V%2B5000%20V%7D%7B6%7D%5Cright)%20g

%5CRightarrow%20V%20%5Crho_%7Bb%7D%20g%20%3D%5Cfrac%7B5724%7D%7B6%7D%20V%20g

%5Crho_%7Bb%7D%20%3D954%5C%2C%20kg%20%2F%20m%20%5E%7B3%7D

Chapter Questions
1 MCQs