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.

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

Bernoulli's theorem is based on the conservation of:

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.

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 v₁ and v₂ respectively.

1. v₁ = v₂

2. v₁ = 13.6 v₂

3. v₁ = v₂/13.6

4. v₁ = \(\sqrt{13.6}\)v₂

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 v²/2 g and then stop

4. The water level will oscillate

A solid floats in a liquid in a partially dipped position. Then,

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 W₁. The weight becomes W₂ 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.

(a) W₂ = W₁

(b) W₂ = W₁ + w

(c) W₂ < W₁ + w

(d) W₂ > W₁

Choose the correct option:

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 closed vessel is half-filled with water. There is a hole near the top of the vessel and air is pumped out from this hole.

(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:

1. (a) and (b)

2. (b) and (c)

3. (c) and (d)

4. All of these