Q. No.Consider the situation of the previous problem. Let the water push the left wall by a force F1 and the right wall by a force F2
1. F1 = F2
2. F1 > F2
3. F1 < F2
4. The information is insufficient to know the relation between F1 and F2
Previous problem: A closed cubical box is completely filled with water is accelerated horizontally towards right with an acceleration a.
Previous problem: A closed cubical box is completely filled with water is accelerated horizontally towards right with an acceleration a.
Water enters through end \(A\) with a speed \(v_1\) and leaves through end \(B\) with a speed \(v_2\) of a cylindrical tube AB. The tube is always completely filled with water. In case I the tube is horizontal, in case II it is vertical with the end \(A\) upward and in case III it is vertical with the end \(B\) upward. We have \(v_1=v_2\) for:
1. case I
2. case II
3. case III
4. each one
1. momentum
2. mass
3. energy
4. angular momentum
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. |
A solid floats in a liquid in a partially dipped position. Then,
| (a) | The solid exerts a force equal to its weight on the liquid. |
| (b) | The liquid exerts a force of buoyancy on the solid which is equal to the weight of the solid. |
| (c) | The weight of the displaced liquid equals the weight of the solid. |
| (d) | The weight of the dipped part of the solid is equal to the weight of the displaced liquid |
Choose the correct option:
1. (a), (b) and (c)
2. (b), (c) and (d)
3. (c), (d) and (a)
4. all of these
The weight of an empty balloon on a spring balance is \(W_1\). The weight becomes \(W_2\) when the balloon is filled with air. Let the weight of the air itself be \(w\). Neglect the thickness of the balloon when it is filled with air. Also neglect the difference in the densities of air inside and outside the balloon.
Which of the following conditions is/are correct?
| (a) | \(W_2=W_1\) |
| (b) | \(W_2=W_1+w\) |
| (c) | \(W_2<W_1+w\) |
| (d) | \(W_2>W_1\) |
Select the correct combination:
| 1. | (a) and (b) |
| 2. | (a) and (c) |
| 3. | (a) and (d) |
| 4. | (a), (b) and (c) |
A solid is completely immersed in a liquid. The force exerted by the liquid on the solid will:
| (a) | increase if it is pushed deeper inside the liquid |
| (b) | change if its orientation is changed |
| (c) | decrease if it is taken partially out of the liquid |
| (d) | be in the vertically upward direction |
Choose the correct option:
| 1. | (a) and (b) |
| 2. | (b) and (c) |
| 3. | (c) and (d) |
| 4. | All of these |
| (a) | The water level will rise up in the vessel. |
| (b) | The pressure at the surface of the water will decrease. |
| (c) | The force by the water on the bottom of the vessel will decrease. |
| (d) | The density of the liquid will decrease. |
Choose the correct option from the given ones:
| 1. | (a) and (b) |
| 2. | (b) and (c) |
| 3. | (c) and (d) |
| 4. | All of these |
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