A piece of paraffin wax of density 0.9 gm/cc floats on water. A layer of turpentine of density 0.87 gm/cc is added on top of water until the wax is cntircly submerged. The ratio of the volume of wax immersed in water to that in turpentine is

1. 3: 13

2. 87: 90

3. 90: 87

4. 3: 10

Bernoulli's principle is based on the law of conservation of

1. Angular momentum

2. Linear momentum

3. Mass

4. Energy

By sucking through a straw, a student can reduce the pressure in his lungs to 750 mm of Hg (density = 13.6 gm/cm³). Using the straw, he can drink water from a glass up to a maximum depth of

1. 10 cm

2. 75 cm

3. 13.6 cm

4. 1.36 cm

A soap bubble of diameter 8 mm is formed in air. The surface tension of liquid is 30 dyne/cm. The excess pressure inside the soap bubble is

1. 150 dyne/cm²

2. 300 dyne/cm²

3. 3 x 10^-3 dyne/cm²

4. 12 dyne/cm²

Two capillary tubes of the same length but different radii $r_1 and r_2$ are fitted in parallel to the bottom of a vessel. The pressure head is p. What should be the radius of a single tube that can replace the two tubes so that the rate of flow is same as before

1. $r_1+r_2$

2. $\frac{r_1{r}_1}{r_1+r_2}$

3. $\frac{r_1+r_2}{2}$

4. None of these

A wooden block, with a coin placed on its top, floats in water as shown in fig. the distance $\ell$ and h are shown there. After some time the coin fails into the water, then

1. $\ell$ decreases and h increases

2. $\ell$ increases and h decreases

3. Both $\ell$ and h increase

4. Both $\ell$ and h decrease

A solid ball of density half of that of water falls freely under gravity from a height of 19.6 m and then enters into water. Upto what depth will the ball go ?

1. 9.8 m

2. 19.6 m

3. 39.2 m

4. 29.4 m

Water rises in a capillary tube to a certain height such that the upward force due to surface tension is balanced by 75 x 10^-4 N force due to the weight of the liquid. If the surface tension of water is 6 x 10^-2 N/m, the inner circumference of the capillary must be

1. 1.25 x 10^-2 m

2. 0.50 x 10^-2 m

3. 6.5 x 10^-2 m

4. 12.5 x 10^-2 m

A cubical block of wood 10 cm on a side floats at the interface between oil and water as shown in figure with its lower face 2 cm below the interface. The density of oil is 0.6 gm/cm³. The mass of the block is

1. 600 gm

2. 680 gm

3. 800 gm

4. 200 gm

Angle of contact of a liquid with a solid depends on

1. solid only

2. liquid only

3. both on solid and liquid only

4. orientation of the solid surface in liquid