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

(a) 4:3                         (b) 2:3

(c) 3:4                         (d) 1:3

Concept Questions :-

Archimedes principle
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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

(a) d0d                                       (b) dd0d+d0

(c) d-d0d                                   (d) dd0d-d0

Concept Questions :-

Archimedes principle
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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:


(a) Bernoulli                                (b) Archimedes
(c) Boyle                                     (d) Pascal

Concept Questions :-

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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 ?
(a) It will slowly come back to its earlier position

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

(c) It will sink

(d) It will come out violently

Concept Questions :-

Archimedes principle
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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
(a) Increases                                          (b) Decreases
(c) Remains unchanged                           (d) None of these

Concept Questions :-

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

(a) η-1ηmg                              (b) ηmg

(c) mgη                                        (d) (η-1)mg

 

 

Concept Questions :-

Archimedes principle
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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 ?
(a) V/2                        (b) V/3

(c) V/4                        (d) V

Concept Questions :-

Archimedes principle
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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

Concept Questions :-

Archimedes principle
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Two solids A and B float in water. It is observed that A floats with 12 of its body immersed in water and B floats with 14 of its volume above the water level. The ratio of the density of A to that of B is
1. 4 : 3                                  2. 2 : 3
3. 3 : 4                                  4. 1 : 2

Concept Questions :-

Archimedes principle
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A boat carrying steel balls is floating on the surface of water in a tank. If the balls are thrown into the tank one by one, how will it affect the level of water ?

(a) It will remain unchanged

(b) It will rise

(c) It will fall

(d) First it will first rise and then fall

Concept Questions :-

Equation of continuity
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