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 Multiple Choice QuestionsMultiple Choice Questions

61.

Assertion: Use of ball bearings between two moving parts of a machine is a common practice. 

Reason:  Ball bearings reduce vibrations and provide good stability.

  • If both assertion and reason are true and reason is the correct explanation of the assertion

  • If both assertion and reason are true but reason is not the correct explanation of the assertion

  • If assertion is true, but reason is false

  • Both assertion and reason are false statements


62.

Assertion: A thin stainless steel needle can lay floating on a still water surface. 

Reason:  Any object floats when the buoyancy force balances the weight of the object.

  • If both assertion and reason are true and reason is the correct explanation of the assertion

  • If both assertion and reason are true but reason is not the correct explanation of the assertion

  • If assertion is true, but reason is false

  • Both assertion and reason are false statements


63.

A candle of diameter d is floating on a liquid in a cylindrical container of diameter D ( D >> d ) as shown in figure. If it is burning at the rate of 2 cm/hour then the top of the candle will

    

  • remain at the same height

  • fall at the rate of 1 cm/hour

  • fall at the rate of 2 cm/hour

  • go up at the rate of 1 cm/hour


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64.

A given shaped glass tube having uniform cross section is filled with water and is mounted on a rotatable shaft as shown in figure. If the tube is rotated with a constant angular velocity  ω when

  • water levels in both sections A and B go up

  • water level in section A goes up and that in B comes down

  • water level in section A comes down and that in B it goes up

  • water levels remain same in both sections


A.

water levels in both sections A and B go up

Due to rotation about the OO', a force is acting on the liquid column AB outwards, pushing up the liquid column AB outwards, pushing up the liquid column on the right. This centrifugal force acting on the small element  'dx'  of  area cross-section 'dx', distant x from the axis is

      dm ω2x =  A dx ρω2x

 

The total force due to the column of length L ( = AB ) is

     0L Aρω2 · x dx = A ρω2 L22

Pressure at B = atmospheric pressure + h1ρg + Aρω2A L22

Pressure at B due to liquid colomn on the right hand side 

                     = atmospheric pressure + h2ρg

Net pressure due to the left-hand side = pressure at B due to liquid column

atm. pressure + h1ρg + ρω2 L22 = atm. pressure + h2ρg

∴     h2 - h1 = H0ω2L22g

Here one has

  H2 =  ω2 L2 22g

  H1ω2L1 22g

As  ω is the same, and L2 > L1, H2 > H1

But both will go up.        


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65.

Assertion:  Specific gravity of a fluid is a dimensionless quantity

Reason: : It is the ratio of density of fluid to the density of water.

  • If both assertion and reason are true and reason is the correct explanation of assertion 

  • If both assertion and reason are true but reason is not the correct explanation of assertion

  • If assertion is true but reason is false

  • If both assertion and reason are false


66.

Assertion: For Reynold number Re > 2000, the flow of fluid is turbulent. 

Reason: Inertial forces are dominant compared to the
viscous forces at such high Reynold numbers.

  • If both assertion and reason are true and reason is the correct explanation of assertion

  • If both assertion and reason are true but reason is not the correct explanation of assertion

  • If assertion is true but reason is false

  • If both assertion and reason are false


67.

A sphere of mass Mand radius R is falling in a viscous fluid. The terminal velocity attained by the falling object will be proportional to

  • R2

  • R

  • 1/R

  • 1/R2


68.

The old age arteries carrying blood in the human body become barrow resulting in an increase in blood pressure. This follows from

  • Pascal's law

  • Stoke's law

  • Bernoulli's principle

  • Archimedes principle


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69.

Assertion: Smaller drops of liquid resist deforming forces better than the larger drops. 

Reason: Excess pressure inside a drop is directly proportional to its surface area

  • If both assertion and reason are true and reason is the correct explanation of assertion

  • If both assertion and reason are true but reason is not the correct explanation of assertion

  • If assertion is true but reason is false

  • If assertion is true but reason is false


70.

Bernoulli's equation is a consequence of conservation of

  • energy

  • linear momentum

  • angular momentum

  • mass


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