Water is flowing through a long horizontal tube. Let \(P_A\) and \(P_B\) be the pressures at two points \(A\) and \(B\) of the tube.
1. | \(P_A\) must be equal to \(P_B\). |
2. | \(P_A\) must be greater than \(P_B\). |
3. | \(P_A\) must be smaller than \(P_B\). |
4. | \(P_A\) = \(P_B\) only if the cross-sectional area at A and B are equal. |
Water and mercury are filled in two cylindrical vessels up to the same height. Both vessels have a hole in the wall near the bottom. The velocity of water and mercury coming out of the holes are \(v_1\) and \(v_2\) respectively.
1. \(v_1=v_2\)
2. \(v_1=13.6v_2\)
3. \(v_1=v_2/13.6\)
4. \(v_1=\sqrt{13.6}v_2\)
A large cylindrical tank has a hole of area \(A\) at its bottom. Water is poured into the tank by a tube of equal cross-sectional area \(A\) ejecting water at the speed \(v.\)
1. | The water level in the tank will keep on rising. |
2. | No water can be stored in the tank. |
3. | The water level will rise to a height \((v^2/2 g)\) and then stop. |
4. | The water level will oscillate. |
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 |