MEDIUM

Earn 100

Find the rise of water $h$ in $mm$ in the capillary as shown in figure. (Radius of capillary $= 2 mm$ , Angle of contact $= 0 °$ , and surface tension of water $= 40 dyne / cm$ , $g = 10 {ms}^{- 2}$ ).

Important Questions on Mechanical Properties of Fluids

MEDIUM

Physics>Mechanics>Mechanical Properties of Fluids>Capillarity and Capillary Action

The ratio of surface tensions of mercury and water is given to be

7.5

, while the ratio of their densities is

13.6

. Their contact angles, with glass, are close to

135 °

and

0 °

, respectively. If it is observed that mercury gets depressed by an amount

h

in a capillary tube of radius

r_{1}

, while water rises by the same amount

h

in a capillary tube of radius

r_{2}

, then the ratio

\frac{r_{1}}{r_{2}}

is close to

EASY

Physics>Mechanics>Mechanical Properties of Fluids>Capillarity and Capillary Action

Water rises to a height 'h' in capillary tube. If the length of capillary tube above the surface of water is made less than 'h', then:

MEDIUM

Physics>Mechanics>Mechanical Properties of Fluids>Capillarity and Capillary Action

A capillary tube is immersed vertically in water and the height of the water column is

x

. When this arrangement is taken into a mine of depth d, the height of the water column is

y

. If R is the radius of earth, the ratio

\frac{x}{y}

is :

MEDIUM

Physics>Mechanics>Mechanical Properties of Fluids>Capillarity and Capillary Action

A capillary tube of radius

r

is immersed in water and water rises in it to a height

h

. The mass of the water in the capillary is

5 g

. Another capillary tube of radius

2 r

is immersed in water. The mass of water that will rise in this tube is:

EASY

Physics>Mechanics>Mechanical Properties of Fluids>Capillarity and Capillary Action

' M'

is the mass of water that rises in a capillary tube of radius

' r'

, then mass of water which will rise in a capillary tube of radius

' 2 r'

is:

MEDIUM

Physics>Mechanics>Mechanical Properties of Fluids>Capillarity and Capillary Action

A capillary tube made of glass of radius

0.15 mm

is dipped vertically in a beaker filled with methylene iodide (surface tension

= 0.05 N m^{- 1}

, density

= 667 kg m^{- 3}

) which rises to height

h

in the tube. It is observed that the two tangents drawn from liquid-glass interfaces (from opp. sides of the capillary) make an angle of

60 º

with one another. Then

h

is close to (

g = 10 m s^{- 2}

)

EASY

Physics>Mechanics>Mechanical Properties of Fluids>Capillarity and Capillary Action

Three liquids of densities,

ρ_{1}, ρ_{2}

and

ρ_{3}

(with,

ρ_{1} > ρ_{2} > ρ_{3})

, having the same value of surface tension,

T

, rise to the same height in three identical capillaries. The angles of contact,

θ_{1}, θ_{2}

and

θ_{3}

obey

EASY

Physics>Mechanics>Mechanical Properties of Fluids>Capillarity and Capillary Action

The rise of liquid in capillary is more than that of water in the same capillary. Which one of the following is the CORRECT reason?

EASY

Physics>Mechanics>Mechanical Properties of Fluids>Capillarity and Capillary Action

In a capillary tube having area of cross-section

A

, the water rises to a height

h

. If the cross-sectional area is reduced to

\frac{A}{9}

, the rise of water in the capillary tube is

EASY

Physics>Mechanics>Mechanical Properties of Fluids>Capillarity and Capillary Action

Two mercury drops (each of radius

r

) merge to form a bigger drop. The surface energy of the bigger drop, if

T

is the surface tension, is

EASY

Physics>Mechanics>Mechanical Properties of Fluids>Capillarity and Capillary Action

Water rises upto a height

h

in a capillary tube on the surface of the earth. The value of

h

increases, if the capillary tube apparatus is kept

MEDIUM

Physics>Mechanics>Mechanical Properties of Fluids>Capillarity and Capillary Action

A big water drop is formed by the combination of

n

small water drops of equal radii. The ratio of the surface energy of

n

drops to the surface energy of the big drop is

EASY

Physics>Mechanics>Mechanical Properties of Fluids>Capillarity and Capillary Action

Water rises to a height of

15 mm

in a capillary tube having cross-sectional area

A

. If cross-sectional area of the tube is made

\frac{A}{3}

then the water will rise to a height of

EASY

Physics>Mechanics>Mechanical Properties of Fluids>Capillarity and Capillary Action

Two light balls are suspended as shown in figure. When a stream of air passes through the space between them, the distance between the balls will

Question Image

EASY

Physics>Mechanics>Mechanical Properties of Fluids>Capillarity and Capillary Action

In a capillary tube experiment, a vertical,

30 cm

long capillary tube is dipped in water. The water rises upto a height of

10 cm

due to capillary action. If this experiment is conducted in a freely falling elevator, the length of the water column becomes

MEDIUM

Physics>Mechanics>Mechanical Properties of Fluids>Capillarity and Capillary Action

The lower end of a capillary tube is dipped into water and it is observed that the water in capillary tube rises by

7.5 cm

. Find the radius of the capillary tube used, if surface tension of water is

7.5 \times 10^{- 2} N m^{- 1}

? Angle of contact between water and glass is

0 °

and acceleration due to gravity is

10 m s^{- 2}

MEDIUM

Physics>Mechanics>Mechanical Properties of Fluids>Capillarity and Capillary Action

Two capillary tubes

P

and

Q

are dipped vertically in water. The height of water level in capillary tube

P

{(\frac{2}{3})}^{r d}

of the height in capillary tube

Q .

The ratio of their diameter is

HARD

Physics>Mechanics>Mechanical Properties of Fluids>Capillarity and Capillary Action

A uniform capillary tube of inner radius

r

is dipped vertically into a beaker filled with water. The water rises to a height

h

in the capillary tube above the water surface in the beaker. The surface tension of water is

σ

. The angle of contact between water and the wall of the capillary tube is

θ

. Ignore the mass of water in the meniscus. Which of the following statements is (are) true?

EASY

Physics>Mechanics>Mechanical Properties of Fluids>Capillarity and Capillary Action

A soap bubble of radius

r

is blown up to form a bubble of radius

2 r

under isothermal conditions. If

σ

is the surface tension of the soap solution, the energy spent in the process is

EASY

Physics>Mechanics>Mechanical Properties of Fluids>Capillarity and Capillary Action

A rectangular film of liquid is extended from

(4 cm \times 2 cm)

(5 cm \times 4 cm)

. If the work done is

3 \times 10^{- 4} J

, the value of the surface tension of the liquid is

Find the rise of water h in mm in the capillary as shown in figure. (Radius of capillary =2 mm, Angle of contact =0°, and surface tension of water =40 dyne/cm, g=10 ms-2).

Important Questions on Mechanical Properties of Fluids

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Find the rise of water $h$ in $mm$ in the capillary as shown in figure. (Radius of capillary $= 2 mm$ , Angle of contact $= 0 °$ , and surface tension of water $= 40 dyne / cm$ , $g = 10 {ms}^{- 2}$ ).