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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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 |
 56%
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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 |
 55%
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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 |
 51%
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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 |
 74%
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In which one of the following cases will the liquid flow in a pipe be most streamlined  ?

(1) Liquid of high viscosity and high density flowing through a pipe of small radius

(2) Liquid of high viscosity and low density flowing through a pipe of small radius

(3) Liquid of low viscosity and low density flowing through a pipe of large radius

(4) Liquid of low viscosity and high density flowing through a pipe of large radius

Subtopic:  Types of Flows |
 57%
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Two water pipes of diameters 2 cm and 4 cm are connected with the main supply line. The velocity of flow of water in the pipe of 2 cm diameter is -

(1) 4 times that in the other pipe

(2) 3 times that in the other pipe

(3) 2 times that in the other pipe

(4) 6 times that in the other pipe

Subtopic:  Equation of Continuity |
 79%
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An incompressible liquid flows through a horizontal tube as shown in the following fig. Then the velocity v of the fluid is

(1)    3.0 m/s                          

(2) 1.5 m/s                     

 

(3) 1.0 m/s                             

(4) 2.25 m/s

 

Subtopic:  Equation of Continuity |
 81%
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The velocity of kerosene oil in a horizontal pipe is 5 m/s. If g=10m/s2, then the velocity head of oil will be:
1. 1.25 m
2. 12.5 m
3. 0.125 m                             
4. 125 m

Subtopic:  Bernoulli's Theorem |
 76%
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