Archimedes’ Principle MCQ Quiz in मल्याळम - Objective Question with Answer for Archimedes’ Principle - സൗജന്യ PDF ഡൗൺലോഡ് ചെയ്യുക

The correct answer is 3) The buoyant force on the object is equal to the weight of the object.

Key PointsArchimedes' Principle:

• According to Archimedes' principle, when an object is floating in a fluid, the buoyant force on the object is equal to the weight of the object.
• If the object is floating in equilibrium, the downward force (weight of the object) is balanced by the upward buoyant force.
• In this case, since 1/4 of the object's volume is above the water surface, 3/4 of the volume is submerged, indicating equilibrium and that the buoyant force is equal to the weight of the object.
• Hence, the correct statement is that the buoyant force on the object is equal to the weight of the object.

​Buoyant Force:

• When a body is either wholly or partially immersed in a fluid, a lift is generated due to the net vertical component of hydrostatic pressure forces experienced by the body. This lift is called buoyant force and the phenomenon is called buoyancy.
• The buoyant force is always present whether the object floats sinks or is suspended in a fluid.

Archimedes Principle:

• It states that the buoyant force on a submerged body is equal to the weight of the liquid displaced by the body and acts vertically upward through the centroid of the displaced water.

Explanation:

• If the buoyant force is greater than the object's weight, the object will rise to the surface and float.
• If the buoyant force is less than the object's weight, the object will sink.
• If the buoyant force is equal to the object's weight, the object will be suspended at the depth.

Explanation -

• Whether an object sinks or floats is determined by the relative densities of the object and the liquid in which it is put.
• The ratio of a substance's density to the density of given reference material is known as relative density.
• An object with a higher density than the liquid in which it is submerged can sink.
• Floating objects have a lower density than the liquid they are in, hence they float. 
• Consider ships, which can be tens of thousands of tonnes and still float. That's because it's not just about how big anything is that determines whether it floats or sinks.
• Hence, the relative density of ships is less than that of water so it floats.
• The same goes for liquids. Oils have a relative density higher than water so they remain on top of water forming a different layer. 

So, the correct answer to this question is - relative density of liquids, as it described whether the liquid will float or sink.

The correct answer is The upthrust on both balls will be the same.

Key Points

• The balls of iron and aluminium of the same diameter will have the same volume.
• So, the buoyant force exerted by water on both the balls will be the same.
• Buoyant Force is defined as the upward force exerted by a fluid on the immersed body. 
• It is also called upthrust.

Additional Information

• Archimedes’ principle states that when an object immersed in fluid experiences a buoyant force that is equal in magnitude to the force of gravity on the displaced fluid.
• When an object is immersed wholly or partially in a fluid, then there is some apparent loss in its weight. This loss in weight is equal to the weight of the liquid displaced by the body.  

Explanation:

• Archimedes' principle states that when a body immersed in a fluid, whether fully or partially submerged, the upward buoyant force that is exerted on it, is equal to the weight of the fluid that the body displaces.
• When an object is submerged in fluid fully or partially, an upward force is exerted on the body. This force is known as the buoyant force. Fbuoyant = ρf Vf g 

where ρf is the density of the fluid in which the object is submerged, Vf is the volume of the displaced fluid (or volume of the object that is submerged inside the fluid)  and g is the gravitational acceleration.

• When an object is submerged in fluid fully or partially there are two forces, 1. buoyant force 2. weight of the object 

and weight of object W = mg = ρo Vo g    where ρo is the density of the object, Vo is the volume of the object, g is the gravitational acceleration.

• The higher the volume being inserted, the higher will be displaced fluid and the higher will be the buoyant force.
• Therefore, the amount of buoyant force in ascending order will be option 1 i.e. B < C < A.

CONCEPT:

• Archimedes’ principle: When a body is immersed fully or partially in a fluid, it experiences an upward force that is equal to the weight of the fluid displaced by it.
• All objects experience a force of buoyancy when they are immersed in a fluid.
• Objects having a density less than that of the liquid in which they are immersed, float on the surface of the liquid. If the density of the object is more than the density of the liquid in which it is immersed then it sinks in the liquid.

EXPLANATION:

• When the iron block is dropped in the vessel filled with water, it displaces some water from the vessel. The weight of the displaced liquid is less than the iron block, so the iron block sink to the bottom of the vessel.

Important Points

• Archimedes’ principle has many applications. It is used in designing ships and submarines. Lactometers, which are used to determine the purity of a sample of milk and hydrometers used for determining the density of liquids, are based on this principle.

Explanation:

Archimedes principle:

the principle of Archimedes states “When a body is immersed in a liquid, an upward thrust, equal to the weight of the liquid displaced, acts on it.”

Thus, when a solid is fully immersed in a liquid, it loses weight which is equal to the weight of the liquid it displaces.

i.e., \(Apperent\;weight = actual\;weight - buoyant\;force = mg - \rho gV\)

where m is mass of the object, ρ is the density of the fluid

Hence if there is no gravity, there is no Upward Thrust.

The upward force applied to the object is called the buoyant force.

Here, ρ = density of a liquid, g = acceleration due to gravity, V = volume of liquid displaced by the object

• Archimedes’ principle refers to the force of buoyancy that results when a body is submerged in a fluid, whether partially or wholly.
• The force that provides the pressure of a fluid acts on a body perpendicular to the surface of the body. In other words, the force due to the pressure at the bottom is pointed up, while at the top, the force due to the pressure is pointed down; the forces due to the pressures at the sides are pointing into the body.
• If the bottom of the body is at a greater depth than the top of the body, the pressure at the lower part of the body is higher than the pressure at the upper part. Therefore a net upward force acts on the body. This upward force is the force of buoyancy, or simply buoyancy.
• If we drop a lump of clay in water, it will sink. But if we mold the same lump of clay into the shape of a boat, it will float. Because of its shape, the clay boat displaces more water than the lump and experiences a greater buoyant force, even though its mass is the same. The same is true of steel ships.

Explanation -

• The Archimedes principle states that any floating object displaces a volume of water equal to its mass.
• According to this principle, a floating substance, hence, displaces the liquid in a volume that is equal to the floating body's mass. 
• Because the ice cube is floating, we know that the volume of water being displaced is equal in mass to the mass of the ice cube, (based on Archimedes' Principle).
• When the ice has melted it has transitioned into the water and the volume of water it has melted into will be exactly equal to the volume of water it has displaced before when it was floating.
• So, the added volume of water is the same as the volume of water displaced. 
• Therefore as the ice melts, the water level will remain unchanged since the melted ice will occupy the same volume as it did before.

So, The water level in the glass remains the same. 

Ans: Option 3)

CONCEPT:

• Archimedes principle: Partially or completely submerged body in a fluid is acted upon by an upward force called buoyant force.
  • The magnitude of this force is equal to the weight of the fluid displaced by the body.

EXPLANATION:

• Lactometer: It is a device used to check the purity of milk.
  • It works on the principle of Archimede's principle.
  • A solid suspended in a fluid will experience a vertical force equal to the weight of the fluid displaced.
• Hydrometer: It also works on the Archimedes principle.
  • It is used to know the (specific) density of the fluid.
  • The lower the density of the fluid, the more the hydrometer will sink.

The correct answer is option 3)

CONCEPT:

• Archimedes' principle states that when a body immersed in a fluid, whether fully or partially submerged, the upward buoyant force that is exerted on it, is equal to the weight of the fluid that the body displaces.

 Fbuoyant = ρf Vf g 

where ρf is the density of the fluid in which the object is submerged, Vf is the volume of the displaced fluid (or volume of the object that is submerged inside the fluid)  and g is the gravitational acceleration.

When a body immersed in a water-filled beaker,  two forces act on the body.

1. Weight of the body acting vertically downwards.
2. Upward thrust due to buoyancy 

Here weight of object (W) = mg = ρo Vo g  

Where ρo is the density of the object, Vo is the volume of the object, g is the gravitational acceleration.

EXPLANATION:

• On a freely falling body, the only force acting is the weight (mg). There is no other effect on it.
• When the beaker falls freely then the apparent force on the body becomes zero because the body doesn't apply any force on the liquid.
• Since the force applied by the body on the fluid is zero so in reaction to that, the fluid also applies zero up thrust force on the body. So option 1 is correct.

MISTAKE POINTS:

• In general, there is an upward force (buoyancy) on any object submerged in a fluid but in case of free-falling, there is no upward force by the fluid on the submerged body.

Concept:

Archimedes principle:

• Any object which is submerged in a fluid is acted upon by an upward force whose magnitude is equal to the weight of the fluid displaced.
• The upward force applied to the object is called buoyant force.
• If the mass of the object is m then mg is the weight (W) of the object. Weight of any object always acts in the downward direction.

Explanation:

• When the object is submerged in water, then the buoyancy force (Fb) act on the object in an upward direction.
• When an object is floating in the water, the buoyancy force balances the weight of the object.

Buoyancy force (Fb) ≥ Weight (W)

• If buoyancy force (Fb) < weight (W), the body will sink.