Tag: archimedes' principle

Questions Related to archimedes' principle

Archimedes principle is used for
physics upthrust in fluids, archimedes' principle and floatation experimental verification of archimedes' principle archimedes' principle archimedes' principle and its applications
  1. Determining the force applied on the object
  2. Determining the relative density of the object
  3. Determining the gravitational constant

  4. All the above

Show answer
Correct Option: B
Explanation:
Hydrometer works on the Archimedes principle. The level at which it floats in liquid determines its relative density.
Quantitatively, $V _0dg=V _{immersed}\rho g$

$\implies $ relative density $\rho _r=\dfrac{d}{\rho}=\dfrac{V _{immersed}}{V _0}$
Fill in the blank.
It is the ______ which makes balloon to rise in air. 
physics upthrust in fluids, archimedes' principle and floatation experimental verification of archimedes' principle archimedes' principle archimedes' principle and its applications

  1. Upthrust

  2. Buoyant force

  3. Both A and B

  4. None

Show answer
Correct Option: C
Explanation:

A balloon is filled with air at high pressure which leads to uprising of it because it experiences more buoyant force or we can say upthrust as they are same in this case.

Lactometers are based on
physics upthrust in fluids, archimedes' principle and floatation experimental verification of archimedes' principle archimedes' principle archimedes' principle and its applications

  1. Third law of motion

  2. Kepler's law

  3. Acceleration due to gravity

  4. Archimedes principle

Show answer
Correct Option: D
Explanation:

Lactometer works on the Archimedes' Principle that a solid suspended in a fluid is buoyed by a force equal to the weight of the fluid displaced. If the milk sample is pure, then the lactometer floats on it and if it is adulterated or impure, then the lactometer sinks.

Fill in the blank. 

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

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

  1. Height

  2. Weight

  3. Nature

  4. Volume

Show answer
Correct Option: B
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.

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

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

  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

Show answer
Correct Option: A
Explanation:

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

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

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

  1. $1.5\ m^{2}$

  2. $2\ m^{2}$

  3. $3\ m^{2}$

  4. $4\ m^{2}$

Show answer
Correct Option: B
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 = ${ 2m }^{ 2 }$

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.

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

  1. True

  2. False

Show answer
Correct Option: B
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.

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 :

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

  1. 80 kg

  2. 100 kg

  3. 120 kg

  4. 92 kg

Show answer
Correct Option: C
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.

When a body is weighed in a liquid, the loss in its weight depends upon:

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

  1. volume of the body

  2. mass of the body

  3. shape of the body

  4. CG of the body

Show answer
Correct Option: A
Explanation:

Loss in weight is dependent on volume of body.

$ \therefore$ Option $A$ is correct.

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. 

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

  1. less

  2. buoyant force

  3. weight

  4. liquid displaced

Show answer
Correct Option: D
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.