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Q. No.

A liquid is contained in a vertical tube of semicircular cross-section (see figure). The contact angle is zero. The forces of surface tension on the curved part and on the flat part are in the ratio:

                
1. \(1:1\)
2. \(1:2\)
3. \(\pi:2\)
4. \(2: \pi\)

Subtopic:  Surface Tension |
 53%
Level 3: 35%-60%
Hints

When a capillary tube is dipped into a liquid, the liquid neither rises nor falls in the capillary.

a. the surface tension of the liquid must be zero.
b. the contact angle must be \(90^\circ.\)
c. the surface tension may be zero.
d. the contact angle may be \(90^\circ.\)

Choose the correct option:

1. (a) and (b)
2. (b) and (c)
3. (c) and (d)
4. all of these

Subtopic:  Capillary Rise |
 52%
Level 3: 35%-60%
Hints

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.

Subtopic:  Bernoulli's Theorem |
 78%
Level 2: 60%+
Hints
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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

Subtopic:  Equation of Continuity |
 54%
Level 3: 35%-60%
Hints

Equal mass of three liquids are kept in three identical cylindrical vessels \(A\), \(B\) and \(C\). The densities are \(\rho_A,~\rho_B,~\rho_C\) with \(\rho_A<\rho_B<\rho_C\) . The force on the base will be:

1. maximum in vessel \(A\)
2. maximum in vessel \(B\)
3. maximum in vessel \(C\)
4. equal in all the vessels

Subtopic:  Pressure |
 57%
Level 3: 35%-60%
Hints
A viscous liquid flows slowly through a pipe of cross-sectional radius \(R.\) The speed of the particles is a function of the distance from the axis of the pipe.
                     
Assume that the flow is smooth. The variation of \(v\) vs \(r\) is best given by the graph:
1. 2.
3. 4.
Subtopic:  Viscosity |
 54%
Level 3: 35%-60%
Hints
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A small sphere of density \(\rho\) is completely submerged in a liquid of density \(3\rho\) and released. The magnitude of its acceleration just after release equals:
1. \(g\)
2. \(\dfrac{g}{3}\)
3. \(2g\)
4. \(3g\)
Subtopic:  Archimedes' Principle |
 63%
Level 2: 60%+
Hints
When water flows out of a small hole at the bottom of a large tank of uniform cross-section, the average flow rate equals the average of the initial and the final flow rate. The time to empty the tank is \(1~\text{hr},\) using a small pipe at the bottom. If the tank were to be filled to twice its previous level, the time required will be:
1. \(1~\text{hr}\)
2. \(\sqrt2~\text{hr}\)
3. \(2~\text{hr}\)
4. \(4~\text{hr}\)
Subtopic:  Bernoulli's Theorem |
 74%
Level 2: 60%+
Hints
A tank full of water is placed in an elevator. The elevator accelerates upward. The water pressure at the bottom of the tank:
1. decreases
2. increases
3. remains unchanged
4. first increases and then decreases
Subtopic:  Pressure |
 78%
Level 2: 60%+
Hints
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If a soap bubble expands, the pressure inside the bubble:
1. is equal to the atmospheric pressure
2. decreases
3. increases
4. remains the same
Subtopic:  Surface Tension |
 70%
Level 2: 60%+
NEET - 2022
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