Tag: upthrust in fluids, archimedes' principle and floatation

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

Multiple choice physics upthrust in fluids, archimedes' principle and floatation experimental verification of archimedes' principle archimedes' principle archimedes' principle and its applications

Fill in the blank. 

As per Archimedes principle the buoyant force on a submerged object is equal to_______ of liquid displaced by object. 

  1. Height

  2. Weight

  3. Nature

  4. Volume
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

According to the Archimedes principle, the buoyant force of a submerged object is equal to the weight of the liquid displaced.

$\therefore$ Buoyant force     $B = \rho gV$    where $\rho$ and $V$ is the density of liquid and volume of object respectively.

Multiple choice physics upthrust in fluids, archimedes' principle and floatation experimental verification of archimedes' principle archimedes' principle archimedes' principle and its applications

According to the law of floatation weight  of floating body is -

  1. Equal to the weight of liquid displaced

  2. Equal to the volume of liquid displaced

  3. Is greater than the weight of liquid displaced

  4. Is less than the weight of liquid displaced
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

According to Archimedes principle , weight of body in water or liquid is equal to the weight of the liquid displaced by it.

Multiple choice physics upthrust in fluids, archimedes' principle and floatation experimental verification of archimedes' principle archimedes' principle archimedes' principle and its applications

The specific gravity of ice is $0.9$. The area of the smallest slab of ice of height $0.5\ m$ floating in fresh water that will just support a $100\ kg$ man is

  1. $1.5\ m^{2}$
  2. $2\ m^{2}$
  3. $3\ m^{2}$
  4. $4\ m^{2}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

wt. of man = 1000 N

wt. of ice = $0.9\times area\times 0.5N$
wt. of water = $1\times area\times 0.5N$
So, wt. of water = wt. of ice + wt. of man
      area $\times 0.5=area\times 0.9\times 0.5+2000$
      1 area = 20000 = ${ 2m }^{ 2 }$

Multiple choice physics upthrust in fluids, archimedes' principle and floatation experimental verification of archimedes' principle archimedes' principle archimedes' principle and its applications

A block of ice with a lead shot embedded in It is floating on water contained in a vessel. The temperature of the system is maintained at $0^{\circ}$ C as the ice melts. When the ice melts completely the level of water in the vessel rises.

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

According to Archemedies principle if any object is floating on a liquid the weight of the liquid displaced is equal to the weight of the object, when the block of ice melts the bullet ultimately sink in water and displaces the same volume of water as its own volume was, but when it was embedded in the ice it displaced move volume, therefore level of water will fall.

Multiple choice physics upthrust in fluids, archimedes' principle and floatation experimental verification of archimedes' principle archimedes' principle archimedes' principle and its applications

A rectangular boat floating in water has length 4 m and breadth 1.5 m. A person gets into the boat as a result of w which the boat sinks by 2 cm. Mass of the person is :

  1. 80 kg

  2. 100 kg

  3. 120 kg

  4. 92 kg
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Given,

$l=4m$
$b=1.5m$
$h=2cm=0.02m$
Volume, $V=lbh$
$V=4\times 1.5\times 0.02 =0.12m^3$
Density of water, $\rho=1000 kg/m^3$
Mass of the person, $M=\rho V$
$M=1000\times 0.12$
$M=120kg$
The correct option is C.

Multiple choice physics upthrust in fluids, archimedes' principle and floatation experimental verification of archimedes' principle archimedes' principle archimedes' principle and its applications

FIll in the blank. 

When a solid floats in a liquid,  the weight of _______ by its immersed part of the solid is equal to the weight of the solid. 

  1. less

  2. buoyant force

  3. weight

  4. liquid displaced
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Liquid displaced.
This is known as Archimedes principle.
Archimedes' principle indicates that the upward buoyant force that is exerted on a body immersed in a fluid, whether fully or partially submerged, is equal to the weight of the fluid that the body displaces.

Multiple choice physics upthrust in fluids, archimedes' principle and floatation experimental verification of archimedes' principle archimedes' principle archimedes' principle and its applications

Archimedes' major contribution / discovery was:

  1. Photoelectric effect

  2. Principle of buoyancy

  3. Wave theory of light

  4. Law of inertia
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Answer is B

Archimedes' principle indicates that the upward buoyant force that is exerted on a body immersed in a fluid, whether fully or partially submerged, is equal to the weight of the fluid that the body displaces. Because of this buoyancy a body is able to float or submerge over liquid surface.

Multiple choice physics upthrust in fluids, archimedes' principle and floatation experimental verification of archimedes' principle archimedes' principle archimedes' principle and its applications

An iron ball is weighed in air and then in water by a spring balance

  1. Its weight in air is more than in water

  2. Its weight in water is more than in air

  3. Its weight in same both in air and water

  4. Its weight is zero in water
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

By Archimedes Principle, an object immersed(partially or fully) in a fluid experiences a loss in weight, which is given by the weight of the fluid displaced by the body.


For the given iron ball, the weight measured in air is $W _1 = (m _\textrm{ball}-\rho _\textrm{air}V _\textrm{ball})g$
Similarly, weight measured in water is $W _2 = (m _\textrm{ball}-\rho _\textrm{water}V _\textrm{ball})g$

We know that, $\rho _\textrm{water} > \rho _\textrm{air}$
Hence, $W _2 <W _1$
i.e., Weight measured in air is more than that in water.

Multiple choice physics upthrust in fluids, archimedes' principle and floatation experimental verification of archimedes' principle archimedes' principle archimedes' principle and its applications

A cylinder is made up of a material of density $1.5\ g\ cm^{-3}$ is immersed inside a liquid of density $1\ g\ cm^{-3}$. State whether the cylinder moves up or not

  1. Yes

  2. No

  3. Maybe

  4. Can't say
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the volume of cylinder be V

So weight of cylinder is $W=V\rho _{cylinder}g=1.5Vg$
Buoyancy force $F=V\rho _{liquid}g=V\times 1\times g=Vg$
Since weight is greater than buoyancy, $W>F$, so it will move downward.