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 |
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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 |
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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 |
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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 |
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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

Subtopic:  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?

1. It will remain unchanged
2. It will rise
3. It will fall
4. First it will first rise and then fall
Subtopic:  Archimedes' Principle |
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Two pieces of metal when immersed in a liquid have equal upthrust on them; then

(1) Both pieces must have equal weights

(2) Both pieces must have equal densities

(3) Both pieces must have equal volumes

(4) Both are floating to the same depth

Subtopic:  Archimedes' Principle |
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A candle of diameter \(d\) is floating on a liquid in a cylindrical container of diameter \(D(D>>d)\) as shown in the figure. If it is burning at the rate of \(2~\text{cm/hour}\) then the top of the candle will:
            

1. Remain at the same height
2. Fall at the rate of \(1~\text{cm/hour}\)
3. Fall at the rate of  \(2~\text{cm/hour}\)
4. Go up at the rate of \(1~\text{cm/hour}\)
Subtopic:  Archimedes' Principle |
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Construction of submarines is based on 
(1) Archimedes’ principle               

(2) Bernoulli’s theorem

(3) Pascal’s law                             

(4) Newton’s laws

Subtopic:  Archimedes' Principle |
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