Acubical block if floating in a liquid with half of its volume immersed in the liquid. When the whole system accelerates upwards with acceleration of $\frac{\mathrm{g}}{3}$, the fraction of volume immersed in the liquid will be

                            

1. 1/2

2. 3/8

3. 2/3

4. 3/4

A pump is designed as a horizontal cylinder with a piston area A and an outlet orifice arranged near the axis of the cylinder. Find the velocity of outflow of liquid from pump, if the piston movos with a constant velocity under the action of a constant force F. The density of liquid is $\rho$

1. $\sqrt{\frac{F}{A\rho }}$

2. $\sqrt{\frac{2F}{A\rho }}$

3. $\sqrt{\frac{A\rho }{F}}$

4. $\sqrt{\frac{A\rho }{2F}}$

A liquid is flowing in a horizontal uniform capillary tube under a constant pressure difference P. The value of pressure for which the rate of flow of the liquid is doubled when the radius and length both are doubled is 

(1) P

(2) $\frac{3P}{4}$

(3) $\frac{P}{2}$

(4) $\frac{P}{4}$

A metallic Square Plate ABCD is suspended vertically with a pair of sides horizontal by a light in elastic string as shown in figure. A beaker of water is brought below the plate and raised till the plate is completely immersed and the level of water is well above the plate.

If the point of support is slowly raised vertically at a constant velocity, the graph of tension T in the string against the displacement s of the point of support is best represented by by

1.

2.

3.

4.

When a large bubble rises from the bottom of a lake to the surface. Its radius doubles. If atmospheric pressure is equal to that of column of water height H, then the depth of lake is 

1. H

2. 2H

3. 7H

4. 8H

Due to capillary action, a liquid will rise in a tube, if the angle of contact is

1. acute

2. obtuse

3. 90^o

4. zero

Two capillary tubes P and Q are dipped in water. The height of water level in capillary P is 2/3 to the height in Q capillary. The ratio of their diameters is

1. 2: 3

2. 3: 2

3. 3: 4

4. 4: 3

The value of coefficient of volume expansion of glycerin is $5\times {10}^{-4} {\mathrm{K}}^{-1}$. The fractional charge in the density of glycerin for a rise of $40° \mathrm{C}$ in its temperature is

1. 0.020

2. 0.025

3. 0.010

4. 0.015

Which one of the following would a hydrogen balloon find easiest to lift ?

1. 1 kg of steet

2. 1 kg of water

3. 1 kg of lightly packed feathers

4. All the same.

Blood is flowing at the rate of 200 ${\mathrm{cm}}^3{\mathrm{s}}^{-1}$ in a capilarry of cross sectional area $0.5 {\mathrm{m}}^2$. The velocity of flow, in ${\mathrm{mms}}^{-1}$, is

1. 0.1

2. 0.2

3. 0.3

4. 0.4