A tube of length L is filled completely with an incompressible liquid of mass M and closed at both ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity ω. The force exerted by liquid at the other end is

1.  2L2

2.  MLω2

3.  2L4

4.  ML2ω22

Subtopic:  Pressure |
 57%
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The radius of a soap bubble is increased from R to 2 R. Work done in this process (T = surface tension) is: 

1. 24 πR2T 2. 48 πR2T
3. 12 πR2T 4. 36 πR2T
Subtopic:  Surface Tension |
 60%
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When a body of mass 'm', density dB is suspended from a wire, its elongation is 'e' when the body is in air. If the body is completely immersed in non-viscous liquid of density dl ,then its elongation is

1. e1-dldB

2. e1-dBdl

3. edBdl-1

4. edBdl

Subtopic:  Archimedes' Principle |
 56%
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A cubical vessel of height 1 m is full of water. Find the work done in pumping out whole water.

1. 49 J

2. 490 J

3. 4900 J

4. 49000 J

Subtopic:  Bernoulli's Theorem |
 59%
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Water flowing from a hose pipe fills a 15-liter container in one minute. The speed of water from the free opening of radius 1 cm is (in ms-1) :

1. 2.5

2. π2.5

3. 2.5π

4. 5 π

Subtopic:  Equation of Continuity |
 74%
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Work of 6.0 x 10-4 Joule is required to be done in increasing the size of a soap film from 10cm x 6cm to 10cm x 11cm. The surface tension of the film is :

1. 5 x 10-2 N/m

2. 6 x 10-2 N/m

3. 1.5 x 10-2 N/m

4. 1.2 x 10-1 N/m

Subtopic:  Surface Tension |
 62%
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If a soap bubble of radius 3 cm coalesce with another soap bubble of radius 4 cm under isothermal conditions, the radius of the resultant bubble formed is in cm-

1. 7

2. 1

3. 5

4. 12

Subtopic:  Surface Tension |
 68%
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Several spherical drops of a liquid each of radius r coalesce to form a single drop of radius R. If T is the surface tension, then the energy liberated will be - 

1. 4πR3T 1r-1R
2. 2πR3T 1r-1R
3. 43πr2T 1r-1R
4. 2πRT 1R-1r

Subtopic:  Surface Tension |
 73%
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Bernoulli's theorem is based on :

1.  conservation of energy

2.  conservation of mass

3.  conservation of momentum

4.  conservation of angular momentum

Subtopic:  Bernoulli's Theorem |
 76%
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Two spherical soap bubbles of radii r1 and r2 in vaccum collapse under isothermal condition. The resulting bubble has radius equal to :

1.  r1 + r22 

2.  r1r2r1 - r2  

3.  r1r1 

4.  r12 + r22

 

Subtopic:  Surface Tension |
 65%
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