Water flows through two identical tubes A and B. A volume V0 of water passes through the tube A and 2 V0 through B in a given time. Which of the following may be correct?
(a) Flow in both the tubes are steady.
(b) Flow in both the tubes are turbulent.
(c) Flow is steady in A but turbulent in B.
(d) Flow is steady in B but turbulent in A.
Choose the correct option:
1. (a), (b) and (c)
2. (b), (c) and (d)
3. (a) and (b)
4. (b) and (c)
Water is flowing in a streamline motion through a tube with its axis horizontal. Consider two points \(A\) and \(B\) in the tube at the same horizontal level.
(a) | The pressures at \(A\) and \(B\) are equal for any shape of the tube. |
(b) | The pressures are never equal. |
(c) | The pressures are equal if the tube has a uniform cross-section. |
(d) | The pressures may be equal even if the tube has a non–uniform cross-section. |
Choose the correct option from the given ones:
1. | (a) and (b) only |
2. | (b) and (c) only |
3. | (c) and (d) only |
4. | All of these |
There is a small hole near the bottom of an open tank filled with a liquid. The speed of the water ejected does not depend on:
(a) | area of the hole |
(b) | the density of the liquid |
(c) | height of the liquid from the hole |
(d) | acceleration due to gravity |
Choose the correct option from the given ones:
1. | (a) and (b) only |
2. | (b) and (c) only |
3. | (c) and (d) only |
4. | all of these |
By the surface of a liquid, we mean:
1. | a geometrical plane like \(x = 0\) |
2. | all molecules exposed to the atmosphere |
3. | a layer of thickness of the order of \(10^{-8}~\text m\) |
4. | a layer of thickness of the order of \(10^{-4}~\text m\) |
An ice cube is suspended in a vacuum in a gravity-free hall. As the ice melts it,
1. | will retain its cubical shape. |
2. | will change its shape to spherical. |
3. | will fall down on the floor of the hall. |
4. | will fly up. |
When water droplets merge to form a bigger drop:
1. | energy is liberated. |
2. | energy is absorbed. |
3. | energy is neither liberated nor absorbed. |
4. | energy may either be liberated or absorbed depending on the nature of the liquid. |
Air is pushed into a soap bubble of radius r to double its radius. If the surface tension of the soap solution is S, the work done in the process is
1. 8 \(\pi\) r2 S
2. 12 \(\pi\) r2 S
3. 16 \(\pi\) r2 S
4. 24 \(\pi\) r2 S
If more air is pushed in a soap bubble, the pressure in it
1. decreases
2. increases
3. remains same
4. becomes zero
If two soap bubbles of different radii are connected by a tube,
1. | air flows from bigger bubble to the smaller bubble till the sizes become equal. |
2. | air flows from bigger bubble to the smaller bubble till the sizes are interchanged. |
3. | air flows from the smaller bubble to the bigger. |
4. | there is no flow of air. |
The figure shows a capillary tube of radius \(r\) dipped into water. If the atmospheric pressure is \(P_0,\) the pressure at point \(A\) is:
1. \(P_{0}\)
2. \(P_{0}+\dfrac{2 S}{r}\)
3. \(P_{0}-\dfrac{2 S}{r}\)
4. \(P_{0}-\dfrac{4 S}{r}\)