Tag: upthrust in fluids, archimedes' principle and floatation

Questions Related to upthrust in fluids, archimedes' principle and floatation

If an ice cube a with impurities is floating in the water container and after few minutes ice melts and impurities  are sink down then find the level of water in that container :

  1. increased

  2. decreased

  3. same

  4. may increased or decreased


Correct Option: A

A beaker containing water weighs $100$ g. It is placed on the pan of a balance and a piece of metal  weighing 70 g and having a volume of $10c{m^3}$ is placed inside the water in beaker. The weight of the beaker and the metal would be:

  1. $170g$

  2. $160$g

  3. $100$g

  4. $30g$


Correct Option: B

equal to the weight of the immersed part of the body 2 . A raft of wood of mass 120 kg floats in water . The weight C that can be on the raft on make it just sink , should be $(d _{raft} = 600 kg/m _{3} )$

  1. 80 kg

  2. 50 kg

  3. 60 kg

  4. 30 kg


Correct Option: C

A wooden cube floating in water supports a mass $0.2 kg$ When the mass is removed the cube rises by $2 cm.$ The side of the cube is (density of water=${10^3}kg/{m^3}$)

  1. $6 cm$

  2. $12 cm$

  3. $8 cm$

  4. $10 cm$


Correct Option: B

The material of wire has specific gravity 8. It is not wetted by water, what is the diameter of the wire that will float on the surface of water?(T =70 dy /cm)

  1. 15 mm

  2. 1.5 cm

  3. 1.3

  4. None of these


Correct Option: B

A ball rise with constant velocity, to the surface of a liquid whose density is four times that of the ball. The ratio of the v force to weight of the ball is

  1. 1

  2. 2

  3. 3

  4. 4


Correct Option: C

A balloon has volume of 1000 $m^{3}$ . It is filled with hydrogen ($ \rho $ = 0.09 g/L ) . If the density of air is 1.29 g/L , it can lift a total weight of 

  1. 600 kg

  2. 1200 kg

  3. 300 kg

  4. 1800 kg


Correct Option: B
Explanation:
Given,
$V _b=1000m^3$
$\rho _h=0.09g/L$
$\rho _a=1.29g/L$
$g=10m/s^2$
Upthrust force = total downward force
$V _b \rho _a h=mg+\rho _h V _b g$
$1000\times 1.29\times 10=mg+0.09\times 1000\times 10$
$1290=mg+90$
$mg=1200kg-weight$
The correct option is B.

 An ice cube is floating on the surface of water. How will the water level be affected by melting of this ice cube?

  1. Water level will be raised

  2. Water level will go down

  3. Water level will remain the same

  4. Water level will first rise up then it will go down


Correct Option: C

A body is float inside liquid. If we increase temperature then what charges occur in buoyancy force?(Assume body is always in floating condition )

  1. Buoyancy force will condition

  2. Buoyancy force will increase

  3. Buoyancy force remains constant

  4. Cannot be calculated from given statement


Correct Option: A

A wooden cube floats just inside the water, when a mass of $x$ (in grams) is placed on it. If the mass is removed, the cube floats with a height $\dfrac{x}{100}\ cm$ above the water surface. The length of the side of cube is (density of water is $1000\ kg/m^{3}$)

  1. $10\ cm$

  2. $15\ cm$

  3. $20\ cm$

  4. $30\ cm$


Correct Option: C