A cubical block is floating in a liquid with half of its volume immersed in the liquid. When the whole system accelerates upwards with acceleration of g/3, the fraction of volume immersed in the liquid will be

(1) 12                                 

(2) 38

(3) 23                                 

(4) 34

Subtopic:  Archimedes' Principle |
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A silver ingot weighing 2.1 kg is held by a string so as to be completely immersed in a liquid of relative density 0.8. The relative density of silver is 10.5. The tension in the string in kg-wt is

(1) 1.6                                             

(2) 1.94

(3) 3.1                                           

(4) 5.25

Subtopic:  Properties of Fluids |
 74%
From NCERT
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Two solids A and B float in water. It is observed that A floats with half its volume immersed and B floats with 2/3 of its volume immersed. Compare the densities of A and B

(1) 4:3                         

(2) 2:3

(3) 3:4                         

(4) 1:3

Subtopic:  Archimedes' Principle |
 65%
From NCERT
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The fraction of a floating object of volume V0 and density d0 above the surface of a liquid of density d will be

(1) d0d                                       

(2) dd0d+d0

(3) d-d0d                                   

(d) dd0d-d0

Subtopic:  Archimedes' Principle |
 63%
From NCERT
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Pressure applied to an enclosed fluid is transmitted undiminished to every portion of the fluid and the walls of the containing vessel. This law was first formulated by:

(1) Bernoulli                               

(2) Archimedes

(3) Boyle                                     

(4) Pascal

Subtopic:  Pressure |
 74%
From NCERT
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 A body is just floating on the surface of a liquid. The density of the body is same as that of the liquid. The body is slightly pushed down. What will happen to the body ?
(1) It will slowly come back to its earlier position

(2) It will remain submerged, where it is left

(3) It will sink

(4) It will come out violently

Subtopic:  Archimedes' Principle |
 51%
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A cork is submerged in water by a spring attached to the bottom of a bowl. When the bowl is kept in an elevator moving with acceleration downwards, the length of spring


(1) Increases                                         

(2) Decreases

(3) Remains unchanged                           

(4) None of these

Subtopic:  Archimedes' Principle |
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A solid sphere of density η ( > 1) times lighter than water is suspended in a water tank by a string tied to its base as shown in fig. If the mass of the sphere is m, then the tension in the string is given by:

      

1. η-1ηmg                              

2. ηmg

3. mgη                                       

4. (η-1)mg

Subtopic:  Archimedes' Principle |
 51%
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A hollow sphere of volume V is floating on water surface with half immersed in it. What should be the minimum volume of water poured inside the sphere so that the sphere now sinks into the water ?
(1) V/2                       

(2) V/3

(3) V/4                       

(4) V

Subtopic:  Archimedes' Principle |
 65%
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A ball whose density is 0.4×103 kg/m3 falls into water from a height of 9 cm . To what depth does the ball sink
(a) 9 cm                                   
(b) 6 cm
(c) 4.5 cm                               
(d) 2.25 cm

Subtopic:  Archimedes' Principle |
 56%
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