Bernoulli's theorem is based on the conservation of:

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.

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

In a streamlined flow,
a. the speed of a particle always remains the same.
b. the velocity of a particle always remains the same.
c. the kinetic energies of all the particles arriving at a given point are the same.
d. the momenta of all the particles arriving at a given point are the same.
Choose the correct option:
1. (a) and (b)
2. (b) and (c)
3. (c) and (d)
4. All of these

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)