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

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 \(ρ _{finger}   >   ρ _{wate r}\)]

Two non-mixing liquids of densities and \(n 𝜌 (n>1)\) are put in a container. The height of each liquid is \(h.\) A solid cylinder floats with its axis vertical and length \(pL  (𝑝 < 1)\) in the denser liquid. The density of the cylinder is \(d.\) The density \(d\) is equal to:
1. \({[2+(n+1)p}] 𝜌\)
2. \([{2+(n-1)p}] 𝜌\)
3. \([{1+(n-1)p}] 𝜌\)
4. \([{1+(n+1)p}] 𝜌\)

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 the figure. If it is burning at the rate of \(2~\text{cm/hour}\) 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 \(36~\text g\) and its density is \(9~\text{g/cm}^3.\) If the mass of the other is \(48~\text g,\) its density in \((\text{g/cm}^3)\) will be:
1. \(\frac{4}{3}\)
2. \(\frac{3}{2}\)
3. \(3\)
4. \(5\)