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 |
 54%
From NCERT
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A tank is filled with water up to a height \(\mathrm H.\) Water is allowed to come out of a hole \(\mathrm P\) in one of the walls at a depth \(\mathrm D\) below the surface of water. Express the horizontal distance \(\mathrm{x}\) in terms of \(\mathrm H\) and \(\mathrm {D}\text :\)
                    

1. x=D(H-D)

2. x=D(H-D)2

3. x=2D(H-D)

4. x=4D(H-D)

Subtopic:  Bernoulli's Theorem |
 82%
From NCERT
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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 |
 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 |
 53%
From NCERT
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In order to float a ring of area 0.04 m2 in a liquid of surface tension 75 N/m, the required surface energy will be:

1. 3 J 2. 6.5 J
3. 1.5 J  4. 4 J
Subtopic:  Surface Tension |
 78%
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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In a capillary tube, pressure below the curved surface of the water will be:

1. equal to atmospheric pressure.
2. equal to upper side pressure.
3. more than upper side pressure.
4. lesser than upper side pressure.

Subtopic:  Capillary Rise |
 53%
From NCERT
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If the excess pressure inside a soap bubble is balanced by an oil column of height of \(2\) mm, then the surface tension of the soap solution will be: (radius of the soap bubble, \(r=1\) cm and density of oil, \(d=0.8\) gm/cm3)
1. \(3.9\) N/m
2. 3.9×10-2 N/m
3. 3.9×10-3 N/m
4. \(3.9\) dyne/m

Subtopic:  Surface Tension |
 68%
From NCERT
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If the surface tension of water is 0.06 Nm-1, then the capillary rise in a tube of diameter 1 mm is: \((\theta = 0^{\circ})\)
1. 1.22 cm
2. 2.44 cm
3. 3.12 cm
4. 3.86 cm

Subtopic:  Capillary Rise |
 78%
From NCERT
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