A square plate of 0.1 m side moves parallel to a second plate with a velocity of 0.1 m/s, both plates being immersed in water. If the viscous force is 0.002 N and the coefficient of viscosity is 0.01 poise, then the distance between the plates in m is:

1. 0.1 2. 0.05
3. 0.005 4. 0.0005

Subtopic:  Viscosity |
 51%
Level 3: 35%-60%
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A spherical ball of radius \(r\) is falling in a viscous fluid of viscosity \(\eta\) with a velocity \(v.\) The retarding viscous force acting on the spherical ball is:

1. inversely proportional to \(r\) but directly proportional to velocity \(v.\)
2. directly proportional to both radius \(r\) and velocity \(v.\)
3. inversely proportional to both radius \(r\) and velocity \(v.\)
4. directly proportional to \(r\) but inversely proportional to \(v.\)

Subtopic:  Viscosity |
 89%
Level 1: 80%+
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The pans of a physical balance are in equilibrium. If Air is blown under the right-hand pan then the right-hand pan will:

1. move up 2. move down
3. move erratically 4. remain at the same level
 

Subtopic:  Bernoulli's Theorem |
 64%
Level 2: 60%+
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A sniper fires a rifle bullet into a gasoline tank making a hole 53.0 m below the surface of gasoline. The tank was sealed at 3.10 atm. The stored gasoline has a density of 660 kgm-3. The velocity with which gasoline begins to shoot out of the hole will be:
 

1. 27.8 ms-1 2. 41.0 ms-1
3. 9.6 ms-1 4. 19.7 ms-1
Subtopic:  Bernoulli's Theorem |
 55%
Level 3: 35%-60%
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A tank is filled with water up to a height \(H.\) The water is allowed to come out of a hole \(P\) in one of the walls at a depth \(D\) below the surface of the water. The horizontal distance \({x}\) in terms of \(H\) and \({D}\) is:
    
1. \(x = \sqrt{D\left(H-D\right)}\)
2. \(x = \sqrt{\frac{D \left(H - D \right)}{2}}\)
3. \(x = 2 \sqrt{D \left(H-D\right)}\)
4. \(x = 4 \sqrt{D \left(H-D\right)}\)

Subtopic:  Bernoulli's Theorem |
 84%
Level 1: 80%+
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If a small drop of water falls from rest through a large height h in air, then the final velocity is:

1. \(\propto \sqrt{\mathrm{h}}\)
2. \(\propto \mathrm{h} \)
3. \(\propto(1 / h)\)
4. Almost independent of h

Subtopic:  Stokes' Law |
 72%
Level 2: 60%+
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A block of ice floats on a liquid of density 1.2 g/cm3 in a beaker. The level of liquid when ice completely melts-

1. Remains same                         

2. Rises

3. Lowers                                   

4. (1), (2) or (3)

Subtopic:  Archimedes' Principle |
 56%
Level 3: 35%-60%
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In order to float a ring of area \(0.04~\text{m}^2\) in a liquid of surface tension \(75~\text{N/m}\), the required surface energy will be:
1. \(3~\text{J}\)
2. \(6.5~\text{J}\)
3. \(1.5~\text{J}\)
4. \(4~\text{J}\)
Subtopic:  Surface Tension |
 80%
Level 1: 80%+
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If pressure at half the depth of a lake is equal to 2/3rd the pressure at the bottom of the lake, then the depth of the lake is:

1. 10 m 2. 20 m
3. 60 m 4. 30 m
Subtopic:  Pressure |
 71%
Level 2: 60%+
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A spherical drop of water has a radius of 1 mm. If the surface tension of water is 70×10-3 N/m, the difference in pressures inside and outside the spherical drop is:

1. 35 N / m2 2. 70 N / m2
3. 140 N / m2 4. Zero
Subtopic:  Surface Tension |
 84%
Level 1: 80%+
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