If two iron balls when fully immersed in water experience thrust force in the ratio of \(1:2\), then the ratio of the masses of the balls will be:
1. \(1:1\)
2. \(1:2\)
3. \(2:1\)
4. \(1:4\)

Subtopic:  Archimedes' Principle |
 83%
Level 1: 80%+
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There are four cylindrical vessels identical in dimensions. If these are filled with equal masses of four different liquids \(P, Q, R\) and\( S\) such that their densities are \(\rho_P>\rho_Q>\rho_R>\rho_S, \) then the pressure at the base of the vessel will be:
1. \(P_P=P_Q=P_R=P_S\) 2. \(P_P>P_Q>P_R>P_S\)
3. \(P_P<P_Q<P_R<P_S\) 4. The data is insufficient to predict the relation
Subtopic:  Pressure |
 64%
Level 2: 60%+
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The reading of a spring balance when a block is suspended from it in the air is 60 N. This reading is changed to 40 N when the block is submerged in water. The specific gravity of the block, therefore, must be:
1. 3
2. 2
3. 6
4. 3/2

Subtopic:  Archimedes' Principle |
 63%
Level 2: 60%+
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A beaker full of water is placed on a spring balance. If we put our finger in water without touching the beaker, how will the reading of the balance change?
[Take \(ρ _{finger}   >   ρ _{wate r}\)
]

1. Increase 2. Decrease
3. Remain the same 4. Will be halved

Subtopic:  Archimedes' Principle |
 58%
Level 3: 35%-60%
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If a capillary tube is partially dipped vertically into liquid and the levels of the liquid inside and outside are the same, then the angle of contact is:

1. \(90^\circ\) 2. \(30^\circ\)
3. \(45^\circ\) 4. \(0^\circ\)

Subtopic:  Capillary Rise |
 77%
Level 2: 60%+
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From the given diagram, what is the velocity \(v_3?\)
               
1. \(4~\text{m/s}\)
2. \(3~\text{m/s}\)
3. \(1~\text{m/s}\)
4. \(2~\text{m/s}\) 

Subtopic:  Equation of Continuity |
 88%
Level 1: 80%+
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From the given diagram, the speed with which water leaves the tube B of small diameter is-

                         

1. \(\sqrt{2 \left(gh\right)_{1}}\) 2. \(\sqrt{2 \left(gh\right)_{2}}\)
3. \(\sqrt{2 g \left(h_{1}   +   h_{2}\right)}\) 4. \(\sqrt{2 g \left(h_{2}   -   h_{1}\right)}\)

Subtopic:  Bernoulli's Theorem |
 55%
Level 3: 35%-60%
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An iron sphere is dropped into a viscous liquid. Which of the following represents its acceleration \((a)\) versus time \((t)\) graph?

1. 2.
3. 4.
Subtopic:  Stokes' Law |
 57%
Level 3: 35%-60%
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The diameter of a syringe is \(4~\text{mm}\) and the diameter of its nozzle (opening) is \(1~\text{mm}\). The syringe is placed on the table horizontally at a height of \(1.25~\text{m}\). If the piston is moved at a speed of \(0.5~\text{m/s}\), then considering the liquid in the syringe to be ideal, the horizontal range of liquid is: \(\left(g = 10~\text{m/s}^2 \right)\)
1. \(4~\text{m}\)

2. \(8~\text{m}\)

3. \(0.4~\text{m}\)

4. \(0.2~\text{m}\)

Subtopic:  Equation of Continuity |
 62%
Level 2: 60%+
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A water tank is kept at a height H above the ground and the tank contains depth H of water as shown. Find the maximum possible range of water current, if there exists a small hole on the sidewall of the tank.
          

1. 2H 2. 3H2
3. 5H2 4. H
Subtopic:  Bernoulli's Theorem |
 58%
Level 3: 35%-60%
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