A homogeneous solid cylinder of length L(L<H/2) . Cross-sectional area A/5 is immersed such that it floats with its axis vertical at the liquid-liquid interface with length L/4 in the denser liquid as shown in the fig. The lower density liquid is open to atmosphere having pressure P0. Then density D of solid is given by

1. 54d                     

2. 45d

3. d                         

4. d5

Subtopic:  Archimedes' Principle |
 68%
From NCERT
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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 |
 54%
From NCERT
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A lead shot of 1mm diameter falls through a long column of glycerine. The variation of its velocity v with distance covered is represented by

1. 

2. 

3. 

4. 

Subtopic:  Viscosity |
 77%
From NCERT
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The surface tension of liquid is 0.5 N/m. If a film is held on a ring of area 0.02 m2, its surface energy is

1. 5×10-2 joule                         

2. 2×10-2 joule

3. 4×10-4 joule                         

4. 0.8×10-1 joule

Subtopic:  Surface Tension |
 85%
From NCERT
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A film of water is formed between two straight parallel wires of length 10cm each separated by 0.5 cm. If their separation is increased by 1 mm while still maintaining their parallelism, how much work will have to be done (Surface tension of water =7.2×10-2 N/m)

1. 7.22×10-6 Joule                         

2. 1.44×10-5 Joule

3. 2.88×10-5 Joule                         

4. 5.76×10-5 Joule

Subtopic:  Surface Tension |
 64%
From NCERT
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A drop of mercury of radius 2 mm is split into 8 identical droplets. Find the increase in surface energy. (Surface tension of mercury is 0.465 J/m2

1. 23.4 μJ                             

2. 18.5 μJ

3. 26.8 μJ                              

4. 16.8 μJ

Subtopic:  Surface Tension |
 66%
From NCERT
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Two small drops of mercury, each of radius r, coalesce to form a single large drop. The ratio of the total surface energies before and after the change is

1. 1:21/3                          2. 21/3 :1

3. 2:1                              4. 1:2

Subtopic:  Surface Tension |
 66%
From NCERT
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When a large bubble rises from the bottom of a lake to the surface, its radius doubles. If atmospheric pressure is equal to that of column of water height H, then the depth of lake is

1. H                                 

2. 2H

3. 7H                               

4. 8H

Subtopic:  Pressure |
 62%
From NCERT
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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 |
 70%
From NCERT
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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 |
 82%
From NCERT
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