An iceberg of density 900 kg/${\mathrm{m}}^3$ is floating in water of density 1000 Kg/${\mathrm{m}}^3$. The percentage of volume of ice-cube outside the water is: 
1. 20%                                       
2. 35%
3. 10%                                       
4. 25%

When a man sits on a boat of length 2 m and breadth 1 m floating on a lake, the boat sinks by 2 cm. The mass of the man is:

1. 25 kg

2. 40 kg

3. 60 kg

4. 80 kg

A block weighs 5 N in air and 4.5 N in a liquid of specific gravity 0.5. Its weight in water will be:

1. 3.5 N

2. 4.0 N

3. 2.5 N

4. 3.0 N

A beaker full of water is placed on a spring balance. If we put our finger in water without touching the beaker, how will the reading of the balance change? [Take ${\mathrm{\rho }}_{\mathrm{finger}}$ $>$ ${\mathrm{\rho }}_{\mathrm{water}}$]
1. Increase
2. Decrease
3. Remain the same
4. Will be halved

 Two non-mixing liquids of densities $\rho$ and n$\rho$(n>1) are put in a container. The height of each liquid is h. A solid cylinder  floats with its axis vertical and length pL $\left(p<1\right)$ in the denser liquid. The density of the cylinder is d. The density d is equal to:

1. {2+(n+1)p}$\rho$             

2. {2+(n-1)p}$\rho$

3. {1+(n-1)p}$\rho$             

4. {1+(n+1)p}$\rho$

A boat carrying steel balls is floating on the surface of water in a tank. If the balls are thrown into the tank one by one, how will it affect the level of water?

A candle of diameter d is floating on a liquid in a cylindrical container of diameter D (D>>d) as shown in figure. If it is burning at the rate of 2cm/hour then the top of the candle will:
            

Two bodies are in equilibrium when suspended in water from the arms of a balance. The mass of one body is \(36\) g and its density is \(9\) g/cm³. If the mass of the other is \(48\) g, its density in g/cm³ will be:
1. $\frac{4}{3}$                                         

2. $\frac{3}{2}$

3. \(3\)                                           

4. \(5\)