Question types

Upthrust in Fluids, Archimedes' Principle and Floatation question types

118 questions across 6 question groups — pick any mix to generate a PHYSICS paper with step-by-step answer keys.

118
Questions
6
Question groups
5
Question types
Sample Questions

Upthrust in Fluids, Archimedes' Principle and Floatation questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1MCQ1 Mark
A body floats in a liquid $A$ of density $\rho_1$ with a part of it submerged inside the liquid, while in liquid $B$ of density $\rho_2$ it is totally submerged inside the liquid. The densities $\rho_1$ and $\rho_2$ are related as:
  • A
    $\rho_1=\rho_2$
  • B
    $\rho_1<\rho_2$
  • $\rho_1>\rho_2$
  • D
    Nothing can be said

Answer: C.

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Q 2MCQ1 Mark
A body of weight $W$ is floating in a liquid. Its apparent weight will be
  • A
    Equal to $W$
  • B
    Less than $W$
  • C
    Greater than $W$
  • Zero

Answer: D.

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Q 3MCQ1 Mark
For a floating body, its weight $W$ and upthrust $F_B$ on it are related as :
  • A
    $ W > F_B $
  • B
    $ W < F_B $
  • $ W=F_B $
  • D
    Nothing can be said

Answer: C.

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Q 4MCQ1 Mark
The density of water is :
  • A
    $1000\ g\ cm ^{-3}$
  • B
    $1\ kg\ m ^{-3}$
  • $1\ g\ cm ^{-3}$
  • D
    None of these.

Answer: C.

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Q 5MCQ1 Mark
The unit of relative density is :
  • A
    $g cm ^{-3}$
  • B
    $kg m ^{-3}$
  • C
    $m^3 kg^{-1}$
  • no unit

Answer: D.

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A homogeneous block floats on water $(a)$ partly immersed $(b)$ completely immersed. In each case state the position of centre of buoyancy $B$ with respect to the centre of gravity $G$ of the block.
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A solid iron ball of mass $500\ g$ is dropped in mercury contained in a beaker. $(a)$ Will the ball float or sink? Give reasons. $(b)$ What will be the apparent weight of the ball?
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When a piece of wood is suspended from the hook of a spring balance, it reads $70\ gf.$ The wood is now lowered into water. What reading do you expect on the scale of spring balance?
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Figure shows the same block of wood floating in three different liquids $A, B$ and $C$ of densities $\rho_1, \rho_2$ and $\rho_3$ respectively. Which of the liquid has the highest density? Give a reason for your answer.
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QUESIION If the density of ice is $0.9 g cm ^{-3}$, then what portion of an iceberg will remain below the surface of water in sea? (Density of sea water $\left.=1.1 g cm ^{-3}\right)$
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A weather forecasting plastic balloon of volume $15 m^3$ contains hydrogen of density $0.09 kg m ^{-3}$. The volume of equipment carried by the balloon is negligible compared to its own volume. The mass of an empty balloon alone is 7.15 kg . The balloon is floating in air of density of $1.3 kg m ^{-3}$. Calculate:
(i) The mass of hydrogen in the balloon,
(ii) The mass of hydrogen and balloon,
(iii) The total mass of hydrogen, balloon and equipment if the mass of equipment is $x kg$,
(iv) The mass of air displaced by balloon and
(v) The mass of equipment using the law of floatation.
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QUESTION 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 $800 cm^3$ above water.
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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.
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A block of wood of mass 24 kg floats on water. The volume of wood is $0.032 m^3$. Find : (a) the volume of block below the surface of water,
(b) the density of wood.
(Density of water $=1000 kg m ^{-3}$ )
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