Question 1 :
Archimedes' principle states that when a body is totally or partially immersed in a fluid. the up thrust is equal to:

Question 2 :
A rectangular iron block is kept over a table with different faces touching the table. In different cases, the block exerts :

Question 3 :
If relative density of a substance in $0.8$, is it heavier or lighter than water?<br/>

Question 4 :
The upthrust on block while floating is $X &#160;\ kgf$. Find [$\dfrac{X-3}{2}$]. &#160;{Where , [] is a step function}

Question 5 :
If ${M}_{E}$ is the mass of the earth and ${R}_{E}$ its radius, the ratio of the acceleration due to gravity and the gravitational constant is:

Question 6 :
If the radius of the earth be increased by a factor of 5 by what factor its density be changed to keep the value of $g$ the same?

Question 7 :
A block of wood is floating on water with its dimensions $50 &#160;cm\times 50 &#160;cm\times 50 &#160;cm$ inside water. The buoyant force acting on the block is X N. Find X. &#160;Take $g=9.8 \ N &#160; kg^{-1}$.&#160;

Question 8 :
Gravitational force on the surface of the moon is only&#160;${\frac{1}{6}}$ as strong as gravitational force on the earth. What is the weight in Newton of a 10 kg object on the moon ?

Question 9 :
A force of 50N is applied on a nail of area&#160;0.001sq.cm. Then the thrust is:

Question 10 :
Relative density of a body wrt a medium of density $\rho_1$ is a. What is the relative density of the body wrt a medium of density $\rho_2$

Question 12 :
The light vertically above the earth's surface at which the acceleration due to gravity becomes $1\%$ of its value at the surface is ___?(R is the radius of the earth)

Question 13 :
A student is weighing an object using a spring balance.&#160;The weight and mass of the object are respectively ${(g= 10m/s^2)}$

Question 14 :
What will be the weight of the man whose mass is $80\, kg$?

Question 15 :
If the radius of the earth decreases by10%, the mass remaining unchanged, what will happen to the acceleration due to gravity?

Question 16 :
The acceleration due to gravity $g$ and density of the earth $p$ are related by which of the following relations? (Here $G$ is the gravitational constant and $R$ is the radius of the earth).

Question 18 :
A body weight $72\ N$ on the surface of the earth. What is the gravitational force acting on it due to the earth at a height equal to half the radius of the earth from the surface?

Question 19 :
A group of students is designing an experiment to verify earth's freefall acceleration rate. They plan to evacuate the air from a bell jar using a vacuum pump, and then use a remotely controlled apparatus within the vacuum to drop a spherical metal object from rest. The group does not have a means to directly measure the sphere's acceleration rate, so they instead plan to measure other quantities about the sphere and its motion, and then will calculate an experimental value&#160; for acceleration.<br/>Which one of the following options of measurements would provide the group with enough information to determine the sphere's acceleration rate, without making any unnecessary additional measurement?

Question 20 :
At what height $'h'$ from the earth surface, acceleration due to gravity becomes half as that of acceleration due to gravity on the surface of earth.<br>[$R$ = Radius of earth]

Question 21 :
The specific gravity of a solid with respect to a liquid is $\dfrac {4}{5}$ and specific gravity of a liquid with a respect to water is $\dfrac {10}{9}$, then specific gravity of solid with respect to water is:

Question 22 :
A body of mass $1.5 \ kg$ is dropped from a height of $12 \ m$. What is the force acting on it during its fall? $(g=9.8 \ ms^{-2})$

Question 23 :
If the radius of the earth were to shrink by $1\%$its mass remaining the same, the acceleration due to gravity on the earths surface would

Question 25 :
A man first swims in sea water and then in river water. Compare the weights of sea water and river water displaced by him.

Question 26 :
State whether true or false.<br/>The maximum heights reached by the bodies that are vertically projected with the same velocity on the surface of the moon and the earth are same.

Question 27 :
The value of $g$ (acceleration due to gravity) at earth's surface is${ 10 } { m }{ s }^{ -2 }$. It's value at the centre of the earth which is assumed to be a sphere of radius $R$ metre and uniform mass density is,

Question 28 :
Assertion: Weight of solid in air is W and in water is $T=\dfrac{2W}{3}$ Then relative density of solid is 3.0. Reason: Relative density of any solid is given by $ \displaystyle RD=\dfrac{\text{Weight in air}}{\text{Change in weight in water}}$

Question 29 :
Given that T stands for time period and l stands for the length of simple pendulum. If g is the acceleration due to gravity, then which of the following statements about the relation $T^2 = (l/g)$ is correct?

Question 30 :
Consider a planet in some system which has a mass double the mass of the earth and density equal to the average density of the earth. If an object weighs W on the earth, then its weight on the planet is:

Question 31 :
What will be the acceleration due to gravity on the surface of&#160;moon if its radius is&#160; $\dfrac{1}{4}^{th}$ the radius of the earth and its mass is $\dfrac{1}{80}^{th}$ the mass of earth?

Question 32 :
Two planets of radii $R_{1}$ and $R_{2}$ have masses $M_{1}$ and $M_{2}$ such that $\dfrac {M_{1}}{M_{2}} = \dfrac {1}{9}$. The weight of an object on these planets is $w_{1}$ and $w_{2}$ such that $\dfrac {w_{1}}{w_{2}} = \dfrac {4}{9}$. The ratio $R_{1}/R_{2}$.

Question 33 :
If the radius of the earth is increased by&#160;three times,&#160;keeping the mass constant, then the weight&#160;of a body on the earth surface will be ______ as&#160;compared to its previous value.<br/>

Question 34 :
Two planets of radii $r_{1}$ and&#160;$r_{2}$ are made from the same material. The ratio of the acceleration due to gravity&#160;$g_{1}/g_{2}$ at the surfaces of the two planets is:

Question 35 :
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 :

Question 36 :
A boat floating in fresh water displaces $16,000\ N$ of water. How many newtons of saltwater would it displace if it floats in saltwater of specific gravity $1.17$?<br>

Question 37 :
A ball of mass m is thrown vertically upward from the ground and reaches a height h before momentarily coming to rest.If g is acceleration due to gravity,the impulse received by the ball due to gravity force during its flight is

Question 38 :
The density of newly discovered planet is twice that of the earth. The acceleration due to gravity at the surface of the planet is equal to that at the surface of the earth. If the radius of the earth is It the radius of the plane would be

Question 39 :
When a piece of wood is suspended from the hook of a spring balance, it reads $70 &#160;gf$. The wood is now lowered into the water which results in floating the wood. What reading do you expect on the scale of spring balance?

Question 40 :
Assuming the mass of Earth to be ten times the mass of Mars, its radius to be twice the radius of Mars and the acceleration due to gravity on the surface of Earth is $10$ $m/s^2$. Then the acceleration due to gravity on the surface of Mars is given by.

Question 41 :
State whether true or false.<br/>The direction of acceleration due to gravity is always vertically downward.<br/>

Question 42 :
If value of acceleration due to gravity changes from one place to another, which of the following force will&#160;undergo a change?

Question 43 :
A planet has twice the density of earth but the acceleration due to gravity on its surface is exactly the same as on the surface of earth. Its radius in terms of earth's radius $R$ will be<br>

Question 44 :
If the weight of a body is 6 N on the moon, what&#160;will it be on the earth?

Question 45 :
A block of wood weights 12 kg and has a relative density 0.6. It is to be of its volume immersed. What weight of a metal is needed if the metal is on the top of wood? [Relative density of metal = 14].

Question 46 :
Two projectiles, one fired from the surface of the earth with speed $5\ { m }/{ s }$ and the other fired from the surface of a planet with initial speed $3\ m/s$,trace identical trajectories. Neglecting friction effect the value of acceleration due to gravity on the planet is:

Question 47 :
A body falls through a distance 'h' in a certain time on the earth. Then if the same body is related on another planet having mass and radius twice as that of the earth, the distance through which it falls in the same time is:

Question 48 :
If the acceleration due to gravity g at the earth's surface is $9.8 m s^{-2}$ and mass of the earth is 80 times that of moon, radius of earth 4 times that of the moon, the value of g at the moon's surface will be approximately equal to?

Question 49 :
If the density of the earth is doubled keeping radius constant, find the new acceleration due to gravity? (g = 9.8 m/s $^2$)

Question 50 :
Assertion: The pressure at a point is the ratio of force to the area on which force is acting. Reason: Pressure is the thrust acting per unit area.