Archimedes' Principle

Q. A block of iron has dimensions 2 m x 0.5 m x 0.25 m. The density of iron is 7.8 g/cm³. Find the mass of the block.

1. 19.50 g

2. 1950 kg

3. 1.95 kg

4. 200 g/cm³

Q.

A beaker is filled with water to its brim. A child while playing drops his ball of mass 1 kg into it and eventually ends up with wetting himself with water. He weighs the water fallen on him and found it to be 1 N. Find the buoyant force experienced by the ball.

1. 1 N

2. 2 N

3. 3 N

4. 4 N

Q. An iron ball at 35 ℃ is dropped in a mug containing water at 35 ℃. If so, choose the correct result.

1. The temperature of the iron ball will decrease.
   
2. Heat flow will take place.
   
3. The temperature of the water will increase.
   
4. There will be no heat flow.
   

Q. Three different liquids fill three cylindrical tubes up to same height. If the relation between the density of the three liquids $d_A>d_B>d_C$, then what is the relationship between pressure exerted at the bottom of the container? $P_A,P_{B}and{P}_C$ represent the pressure exerted at the bottom of the tube, respectively.

1. $P_A<P_B<P_C$
2. $P_A=P_B=P_C$
3. $P_A=P_B>P_C$
4. $P_A>P_B>P_C$

Q.

In the given figure, if we immerse the block into the water then what will happen to the reading on the spring balance?

1. There will be no change in the reading.

2. It can't be determined.

3. It will decrease.

4. It will increase.

Q. weight of the density bottle is 30 g
weight of density bottle + water = 75 g
weight of density bottle+ liquid x = 65 g
to find volume of density bottle

Q.

Archimede's principle states that: "The upward buoyant force that is exerted on a body immersed in a fluid, whether fully or partially submerged, is equal to the volume of the fluid that the body displaces."

1. True

2. False

Q. Pressure increases with height. True or False?

1. True
2. False

Q. According to Archimedes' principle buoyant force is equal to the ___ of the liquid displaced.

1. density
2. mass
3. weight
4. volume

Q. Consider a $50m$ high water fall, with water flowing at a rate of $1.2\times {10}^{6}Kg/s$.Using the power generated in this process, assuming $100\%$ efficiency, the number of $60W$ bulbs that can be light up is

1. $9.8\times {10}^6$
2. $5.88\times {10}^8$
3. $9.8\times {10}^3$
4. $1000$

Q. A body of volume $V$ and density $\rho$ is kept completely immersed in a liquid of density ${\rho }_L$. If $g$ is the acceleration due to gravity, write expressions for the following:

1. $V{\rho }_{L}g$
2. $\frac{V}{{\rho }_{L}g}$
3. $\frac{V{\rho }_L}{g}$
4. None of the above