There is an orifice at some depth in the water tank. Absolute pressure at the level of the orifice in the water tank is 4 atmospheric pressure. The density of water is 103 kg/m3 and 1 atm pressure = 105 N/m2. The speed of water coming out of the orifice is: 
1. 10 m/s
2. 20 m/s

3. 106 m/s
4. 102 m/s

Subtopic:  Bernoulli's Theorem |
 72%
From NCERT
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An airplane of a total wing area of \(120~\text{m}^2\) is in a level flight at some height. If the pressure difference between the upper and lower surface is \(2.5~\text{kPa}\), then the mass of the airplane is:
(Take \(g=10~\text{ms}^{-2}\))

1. \(2\times10^3~\text{kg}\)
2. \(3\times10^4~\text{kg}\)
3. \(5\times10^4~\text{kg}\)
4. \(7\times10^4~\text{kg}\)

Subtopic:  Pressure |
 84%
From NCERT
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A block weighs 5 N in air and 4.5 N in a liquid of specific gravity 0.5. Its weight in water will be:

1. 3.5 N

2. 4.0 N

3. 2.5 N

4. 3.0 N

Subtopic:  Archimedes' Principle |
 71%
From NCERT
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A liquid is poured into three vessels of the same base area and equal heights as shown in the figure, then:
                          

1. The maximum force on the base will be for the vessel \(C.\)
2. The maximum force on the base will be for the vessel \(B.\)
3. The maximum force on the base will be for the vessel \(A.\)
4. Force on the base will be equal for all the vessels.

Subtopic:  Pressure |
 82%
From NCERT
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The relative velocity of two adjacent layers of a liquid is \(6\) cm/s and the perpendicular distance between layers is \(0.1~\text{mm}.\) The velocity gradient for liquid (in per second) is:
1. \(6\)
2. \(0.6\)
3. \(0.06\)
4. \(600\)

Subtopic:  Viscosity |
 75%
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A large open tank with a square hole of side \(0.1\) cm in the wall at a depth of \(0.2\) m from the top is completely filled with a liquid. The rate of flow of liquid (in cm3/s) through the hole will be: 

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

Subtopic:  Bernoulli's Theorem |
 86%
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When a man sits on a boat of length 2 m and breadth 1 m floating on a lake, the boat sinks by 2 cm. The mass of the man is:

1. 25 kg

2. 40 kg

3. 60 kg

4. 80 kg

Subtopic:  Archimedes' Principle |
 82%
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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 ρp > ρQ > ρR > ρS, then pressure at the base of vessel will be: 

1. Pp = PQ = PR = PS 2. Pp > PQ > PR > PS
3. Pp < PQ < PR < PS 4. Data is insufficient to predict the relation
Subtopic:  Pressure |
 58%
From NCERT
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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 ρfinger > ρwater]
1. Increase
2. Decrease
3. Remain the same
4. Will be halved

Subtopic:  Archimedes' Principle |
 56%
From NCERT
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If a capillary tube is partially dipped vertically into liquid and the levels of the liquid inside and outside are same, then the angle of contact is:

1. 90° 2. 30°
3. 45° 4.

Subtopic:  Capillary Rise |
 74%
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