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Standard XII

Physics

Streamline Flow

The given fig...

Question

The given figure shows difference in water level $h$ of two communicating capillary tubes of different diameters $1 m m$ and $1.5 m m$ respectively. Surface tension of water $= 0.07 N / m$ , and angle of contact between the glass and the water is $0^{\circ}$ . The value of $h$ (in mm) is $(g = 9.8 m / s^{2})$ .

3.78

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9.52

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5.00

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5.32

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Solution

The correct option is A $3.78$
The difference in excess pressure is equal to the difference in height.

Hence

$2 σ R_{1} - 2 σ R_{2} = h d g$

Here putting the values of surface tension

$= 0.07 N / m$ and $R_{1} = 0.5 m m$ and $R_{2} = 0.75 m m$

density of water $= 1000 k g / m^{3}$

we get $h = 0.01 m$

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Similar questions

Q. The given figure shows difference in water level 'h' of communicating capillary tubes of different radii. Radius at A and B are 1 mm and 1.5 mm respectively. Surface tension of water = 0.07 N

m^{- 1}

and angle of contact between the glass and the water is

0^{0}

. The value of h (in mm) is (Take g = 9.8 m

s^{- 2}

)

Q. Calculate the difference

(h)

in water level in two communicating capillary tubes of radius

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and

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. Surface tension of water

= 0.07 N m^{- 1}

A cylindrical capillary tube of $0.2 m m$ radius is made by joining two capillaries $T_{1}$ and $T_{2}$ of different materials having water contact angles of $0^{o}$ and $60^{o}$ respectively. The capillary tube is dipped vertically in water in two different configurations, case I and II as shown in figure . Which of the following option(s) is (are) correct?
[Surface tension of water = $0.075 N / m$ , density of water = $1000 k g / m^{3}$ , take $g = 10 m / s^{2}$ ]

Q. Two capillary tubes of diameters 3.0 mm and 6.0 mm are joined together to form a U-tube open at both ends. If the U-tube is filled with water, what is the difference in its levels in the two limbs of the tube? Surface tension of water at the temperature of the experiment is

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, its density

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and angle of contact zero, the height to which water rises in a capillary tube of

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The given figure shows difference in water level h of two communicating capillary tubes of different diameters 1 mm and 1.5 mm respectively. Surface tension of water =0.07 N/m, and angle of contact between the glass and the water is 0∘. The value of h (in mm) is (g=9.8 m/s2).

The correct option is A 3.78The difference in excess pressure is equal to the difference in height. Hence 2σR1−2σR2=hdgHere putting the values of surface tension =0.07N/m and R1=0.5mm and R2=0.75mmdensity of water =1000kg/m3we get h=0.01m