Archimedes' principle and its applications - class-XI
| Description: archimedes' principle and its applications | |
| Number of Questions: 40 | |
| Created by: Vinaya Modi | |
| Tags: physics force and motion mechanics floatation fluids properties of matter forces in fluids option b: engineering physics upthrust in fluids, archimedes' principle and floatation floating bodies |
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.
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.
Which one of the following statements is true?
An iron needle sinks in water as its density is less than 1 $ \displaystyle g/cm^{3} $.
If a body X floats in liquid Y. The density of body X is greater than liquid Y. True or false
Submarine's lactometers, hydrometers, etc. are designed according to __________.
Archimedes' principle states that the buoyant force applied to an object
Fill in the blank.
According to the law of floatation weight of floating body is -
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
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.
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 :
When a body is weighed in a liquid, the loss in its weight depends upon:
FIll in the blank.
Archimedes' major contribution / discovery was:
An iron ball is weighed in air and then in water by a spring balance
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
$A$ and $B$ are two metallic pieces. They are fully immersed in water and then weighed. Now they show same loss of weight. The conclusion therefore is:
Two solids A and B Float is a liquid. It is observed that A floats with half its volume immersed and B floats with $2/3$ of its volume immersed. Compare the densities of A and B.
A piece of paraffin wax of density 0.9 g/cc floats on water.A layer of turpentine of density 0.87 g/cc is added on top of water until the wax is entirely submerged.The ratio of the volume of wax immersed in water to that in turpentine is
The densities of objects P,Q,R and S are ${200 kg/m^3}$, ${450 kg/m^3}$, ${1200 kg/m^3}$ and ${785 kg/m^3}$ respectively. Which one of these objects will sink when dipped in a bucket of water?
A 70 g substance has a volume of $35:cm^3$. It will float on the surface of the water.
A piece of wood floats in water, completely inside it. What happens when it is dropped in ethanol?
As the density of a series of liquids increases, the upthrust on the iron rod submerged
An object is placed in 3 beakers containing liquids A, B and C respectively. If the density of object (d) when compared to tensities of liquids A, B and C is given by $d _A < d < d _B < d _C$ then the body sinks in
A body of mass $120kg$ and density $600kg/{m}^{3}$ floats in water. What additional mass could be added to the body so that the body will just sink?
Write the following steps in a sequence to verify Archimedes' principle.
(a) The object is completed immersed in a liquid.
(b) The weight of the object in air is measured by using a spring balance ($w _{1}$).
(c) The weight of the object in the given liquid is determined ($w _{1}$).
(d) The loss of weight of the object ($w _{1}-w _{2}$) is determined.
(e) The weight of the liquid displaced by the object (w) is determined.
(f) The value of ($w _{1}-w _{2}$) is compared with the value of (w).
The density of ice is $917\ kgm^{-3}$. What fraction of the volume of a piece of ice will be above water, when floating in fresh water?
Construction of a submarine is based on.
A body of density $\rho$ is dropped from rest from a height h into a lake of density $\sigma$, where $\sigma > \rho$. Neglecting all dissipative forces, the maximum depth to which the body sinks before returning to float on surface
A sphere of iron and another of wood, both of same radius are placed on the surface of water. State which of the two will sink? (It is given $\rho _{iron} > \rho _{water}$, and $\rho _{wood} < \rho _{water}$)
How does the density of a substance determine whether a solid piece of density $\rho _s$ of that substance will float or sink in a given liquid of density $\rho _L$?
The dimensions of a wooden raft (density $ =150\ kg/ m^3)$ are $3.0\ m\times 3.0\ m\times 1.0\ m$. What maximum load can it carry in seawater so that the plank just floats in water (density$=1020\ kg/m^3)$?
Two unequal blocks place over each other of different densities ${ \sigma } _{ 1 }$ and ${ \sigma } _{ 2 }$ are immersed in fluid of density of $\sigma$. The block of density ${ \sigma } _{ 1 }$ is fully submerged and the block of density ${ \sigma } _{ 2 }$ is partly submerged so that ratio of there masses is $1/2$ and $\sigma/{ \sigma } _{ 1 }=2$ and $\sigma/{ \sigma } _{ 2 }=0.5$. Find the degree of submergence of the upper block of density ${ \sigma } _{ 2 }$.