A beaker containing a liquid is kept inside a big closed jar. If the air inside the jar is continuously pumped out, the pressure in the liquid near the bottom of the beaker will

1. Increase

2. Decrease

3. Remain constant

4. First decrease and then increase

A given shaped glass tube having uniform cross section is filled with water and is mounted on a rotatable shaft as shown in figure. If the tube is rotated with a constant angular velocity $\mathrm{\omega }$ then

1. Water levels in both sections A and B go up

2. Water level in Section A goes up and that in B comes down

3. Water level in Section A comes down and that in B it goes up

4. Water levels remains same in both sections

An ice berg 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%

A log of wood of mass 120 Kg floats in water. The weight that can be put on the raft to make it just sink, should be (density of wood = 600 Kg/${\mathrm{m}}^3$) 

1. 80 Kg                                                 

2. 50 Kg

3. 60 Kg                                                 

4. 30 Kg

A hemispherical bowl just floats without sinking in a liquid of density $1.2\times {10}^3 \mathrm{kg}/{\mathrm{m}}^3$. If outer diameter and the density of the bowl are 1 m and $2\times {10}^4 \mathrm{kg}/{\mathrm{m}}^3$ respectively, then the inner diameter of the bowl will be 

1. 0.94 m                           

2. 0.97 m

3. 0.98 m                           

4. 0.99 m

A metallic block of density 5 gm ${\mathrm{cm}}^{-3}$ and having dimensions 5 cm × 5 cm × 5 cm is weighed in water. Its apparent weight will be

1. 5 × 5 × 5 × 5 gf                           

2. 4 × 4 × 4 × 4 gf

3. 5 × 4 × 4 × 4 gf                           

4. 4 × 5 × 5 × 5 gf

Two solids A and B float in water. 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

1. 4:3                         

2. 2:3

3. 3:4                         

4. 1:3

The fraction of a floating object of volume ${\mathrm{V}}_0$ and density ${\mathrm{d}}_0$ above the surface of a liquid of density d will be

1. $\frac{{\mathrm{d}}_0}{\mathrm{d}}$                                       

2. $\frac{{\mathrm{dd}}_0}{\mathrm{d}+{\mathrm{d}}_0}$

3. $\frac{\mathrm{d}-{\mathrm{d}}_0}{\mathrm{d}}$                                   

4. $\frac{{\mathrm{dd}}_0}{\mathrm{d}-{\mathrm{d}}_0}$

 A body is just floating on the surface of a liquid. The density of the body is the same as that of the liquid. The body is slightly pushed down. What will happen to the body?

A cork is submerged in water by a spring attached to the bottom of a bowl. When the bowl is kept in an elevator moving with acceleration downwards, the length of spring

1. Increases                                         

2. Decreases

3. Remains unchanged                         

4. None of these