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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 $2 cm h^{- 1},$ then the top of the candle will

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Important Questions on Fluid Mechanics

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 13 - Fluid Mechanics>Objective Problems>Q 20

A container has two immiscible liquids of densities $ρ_{1}$ and $ρ_{2} (> ρ_{1})$ . A capillary tube of radius $r$ is inserted in the liquid so that its bottom reaches up to the denser liquid. The denser liquid rises in the capillary and attains a height $h$ from the interface of the liquids, which is equal to the column length of the lighter liquid. Assuming angle of contact to be zero, the surface tension of the heavier liquid is

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 13 - Fluid Mechanics>Objective Problems>Q 21

A spherical object of mass

1 kg

and radius

1 m

is falling vertically downward inside a viscous liquid in a gravity-free space. At a certain instant, the velocity of the sphere is

2 m s^{- 1}

. If the coefficient of viscosity of the liquid is

\frac{1}{6 π}

SI

units, then the velocity of the ball will become

0.5 m s^{- 1}

after a time.

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 13 - Fluid Mechanics>Objective Problems>Q 22

If a capillary tube of radius

r

is immersed in water, then mass of water risen in capillary is

M

. If the radius of capillary be doubles, then mass of water risen in the capillary will be:

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 13 - Fluid Mechanics>Objective Problems>Q 23

A wooden block of mass

8 kg

is tied to a string attached to the bottom of the tank. In the equilibrium, the block is completely immersed in water. If the relative density of wood is

0.8

and

g = 10 m s^{- 2},

then tension

T

in the string is

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 13 - Fluid Mechanics>Objective Problems>Q 24

A metal ball immersed in alcohol weighs

w_{1}

0 ° C

and

w_{2}

59 ° C

. The coefficient of cubical expansion of the metal is less than that of alcohol. Assuming that the density of the metal is large compared to that of alcohol, it can be shown that

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 13 - Fluid Mechanics>Objective Problems>Q 25

The volume of an air bubble becomes three times as it rises from the bottom of a lake to its surface. Assuming temperature to be constant and atmospheric pressure to be

75 cm

Hg

and the density of water to be

\frac{1}{10}

of the density of the mercury, the depth of the lake is

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 13 - Fluid Mechanics>Objective Problems>Q 26

A barometer kept in an elevator reads

76 cm

when it is at rest. If the elevator goes up with increasing speed, then reading will be

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 13 - Fluid Mechanics>Objective Problems>Q 27

The surface energy of a liquid drop is

E

. It is sprayed into

1000

equal droplets. Then its surface energy becomes

A candle of diameter d is floating on a liquid in a cylindrical container of diameter DD>>d as shown in the figure. If it is burning at the rate of 2 cm h-1, then the top of the candle will

Important Questions on Fluid Mechanics

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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 $2 cm h^{- 1},$ then the top of the candle will