Q. No.Three liquids of densities \(d,\) \(2d\) and \(3d\) are mixed in equal proportions of weights. The relative density of the mixture is:
1.
\(11d \over 7\)
2.
\(18d \over 11\)
3.
\(13d \over 9\)
4.
\(23d \over 18\)
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
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.
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). |
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. |
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. |  |
Find the rate of flow of glycerin of density 1.25 × 103 kg/m3 through the conical section of a pipe, if the radii of its ends are 0.1 m and 0.04 m and the pressure drop across its length is 10 N/m2.
1. 3.14 × 10–4 m3/s
2. 6.28 × 10–4 m3/s
3. 12.56 × 10–4 m3/s
4. 1.57 × 10–4 m3/s
A liquid drop at temperature T, isolated from its surroundings, breaks into a number of droplets. The temperature of the droplets will be–
| 1. | equal to T |
| 2. | greater than T |
| 3. | less than T |
| 4. | either (1), (2) or (3) depending on the surface tension of the liquid. |
A diver is \(10\) m below the surface of the water. The approximate pressure experienced by the diver is:
1. \(10^5\) Pa
2. \(2\times10^5\) Pa
3. \(3\times10^5\) Pa
4. \(4\times 10^5\) Pa
A mercury-filled U–tube arrangement is connected to a bulb containing a gas. Atmospheric pressure is \(1.012 \times 10^5\) Pa and \(\mathrm{H}=0.05\) m.
Then:
| 1. | gauge pressure at \(\mathrm{R}\) is nil. |
| 2. | gauge pressure at \(\mathrm{R}\) is \(6.56 \times10^3\) Pa. |
| 3. | gauge pressure at \(\mathrm{R}\) is \(1.08 \times10^5\) Pa. |
| 4. | pressure at \(\mathrm{R},\) \(\mathrm{Q},\) and inside the bulb is the same. |
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