Tag: archimedes' principle and its applications

Questions Related to archimedes' principle and its applications

Assertion: To float; a body must displace liquid whose weight is equal to the actual weight.
Reason: The body will experience no net downward force in that case.

  1. Both assertion and reason are true and reason is correct explanation of assertion.

  2. Both assertion and reason are true but reason is not the correct explanation of assertion.

  3. Assertion is true but reason is false.

  4. Both assertion and reason are false.


Correct Option: A
Explanation:

If the body displaces liquid whose weight is equal to the actual weight of body, the downward force weight will be balanced by the buoyant force and the body won't experience any net downward force in that case.

State whether given statement is True or False
Archimede's principle describes the magnitude of a buoyant force acting on a body that is partly or completely submerged in a fluid.

  1. True

  2. False


Correct Option: A
Explanation:

Answer is A.

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.
Hence, the given statement is true.

Which one of the following statements is true?

  1. Archimedes' principle can also be applied to gases

  2. The buoyant force depends on the nature of object immersed in the liquid.

  3. Ice floats in water because the density of ice is more than that of water.

  4. Force acting on a unit area is called thrust.


Correct Option: A
Explanation:

Answer is A.

The Archimedes principle, states that the buoyant force exerted on a body immersed in a fluid is equal to the weight of the fluid the body displaces. In other words, to calculate the buoyant force on an object we assume that the submersed part of the object is made of water and then calculate the weight of that water.
This principle is valid for any fluid not only liquids (such as water) but also gases (such as air).

 
Hence, only the statement in option A is true.

An iron needle sinks in water as its density is less than 1 $ \displaystyle g/cm^{3} $.

  1. True

  2. False


Correct Option: B
Explanation:

Any substance sinks in a liquid of density of S when density of substance is greater than that of liquid i.e.

$\boxed { density\quad of\quad substance\quad >\quad S } $

If a body X floats in liquid Y. The density of body X is greater than liquid Y. True or false

  1. True

  2. False


Correct Option: B
Explanation:

For a body to sink in water then density of body should be more than density of water or any fluid i.e. density of body > density of water.

Submarine's lactometers, hydrometers, etc. are designed according to __________.

  1. Archimedes principle

  2. Principles of hydrology

  3. Principles of fluid flow

  4. All of the above


Correct Option: A
Explanation:

Archimedes principle was an important work and has many application. It is used for designing submarines, ships etc. lactometer and hydrometer and also based on this principle and are used to check the purity of milk and density of liquids respectively.

Archimedes' principle states that the buoyant force applied to an object 

  1. is greater the weight of the fluid the object displaces

  2. is equal to the weight of the fluid the object displaces

  3. is less than the weight of the fluid the object displaces

  4. is zero


Correct Option: B
Explanation:

Archimedes' principle states that the buoyant force applied to an object is equal to the weight of the fluid the object displaces.

Archimedes principle works when the body is
  1. Partially immersed in a liquid

  2. Fully immersed in a liquid

  3. Both A and B

  4. This principle has nothing to do with the level of immersion of the body

Correct Option: C
Explanation:

Archimedes' Principle states that buoyant force acting on body upwards is equal in magnitude of the weight of liquid it displaces. Depending upon how much the body is immersed in liquid, and hence how much the weight of liquid is displaced, the buoyant force varies.

When an object is immersed in water, it displaces $20\,kg$ of water. How much is the buoyant force acting on the object in Newtons?
  1. $100$

  2. $200$

  3. $0$

  4. $400$


Correct Option: B
Explanation:

According to the Archimedes principle, the buoyant force acting on an object immersed in liquid is equal to the weight of liquid it displaces. Hence the buoyant force acting on the given object=$20kg\times 10m/s^2=200N$

Magnitude of buoyant force is given by 
  1. Newton's first law

  2. Archimedes principle
  3. Newton's second  law
  4. None of the above 


Correct Option: B
Explanation:

Archimedes principle, states that any body completely or partially submerged in a fluid (gas or liquid) at rest is acted upon by an upward, or buoyant force the magnitude of which is equal to the weight of the fluid displaced.