A cube floats both in water and in a liquid of specific gravity of \(0.8\). Therefore,
a. | the apparent weight of the cube is the same in water and in liquid. |
b. | the cube has displaced an equal volume of water and liquid while floating. |
c. | the cube has displaced an equal weight of water and liquid while floating. |
d. | if some weights are placed on the top surface of the cube to make it just sink, the load in case of water will be \(0.8\) times of that to be used in case of liquid. |
1. | (a) and (c) both are correct. |
2. | only (d) is correct. |
3. | (a) and (b) both are correct. |
4. | (a), (b), and (c) are correct. |
When two drops of water coalesce:
I: | total surface area decreases. |
II: | there is some rise in temperature. |
Which of the following is correct?
1. | Both (I) and (II) are wrong statements. |
2. | Statement (I) is true but (II) is not true. |
3. | Both (I) and (II) are true and the two statements are independent of each other. |
4. | Both (I) and (II) are true and (I) is the cause of (II). |
In a horizontal pipe line the pressure falls by between two points separated by a distance of 2 km. Density of oil is . Change in kinetic energy per kg of the oil flowing in the tube is:
1.
2.
3.
4.
Fluid flows through a pipe in a horizontal plane. The fluid has a relative density of 0.9 and its velocity at P (where cross-section area is A) is 4 m/s. What is its pressure at Q? (where cross-section area is , The pressure at P is 2.8 x 10 Pa.)
1. 2.36 x 10 Pa
2. 3.88 x 10 Pa
3. 2.08 x 10 Pa
4. 1.72 x 10 Pa
A tank is filled with water up to a height h and the pressure at the bottom of the tank is 3P where P is the atmospheric pressure. The height of a point from the bottom of the tank where pressure is is:
1.
2.
3.
4. None of these
A body of density 0.7 gm/ floats on a lake of water. The fraction of the body which is outside water is-
1. 30%
2. 70%
3. 25%
4. 50%
A small spherical solid ball is dropped in a viscous liquid. Its journey in the liquid is best described in the figure by:
1. | curve A | 2. | curve B |
3. | curve C | 4. | curve D |
Water flows through a frictionless duct with a cross-section varying as shown in the figure. Pressure p at points along the axis is represented by:
1. | 2. | ||
3. | 4. |
Equation of continuity is based on:
1. | Conservation of mass |
2. | Conservation of energy |
3. | Conservation of angular momentum |
4. | None of these |
An inverted bell lying at the bottom of a lake 47.6 m deep has 50 cm3 of air trapped in it. The bell is brought to the surface of the lake. The volume of the trapped air will be: (atmospheric pressure = 70 cm of Hg and density of Hg = 13.6 g/cm3)
1. 350 cm3
2. 300 cm3
3. 250 cm3
4. 22 cm3