(D) The height of the liquid column in a capillary tube is given by the formula $h = \frac{2T \cos \theta}{r \rho g}$.From this relation,we can see th

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If the radius of the capillary is reduced to half,the rise of the liquid column becomes four times

(D) The height of the liquid column in a capillary tube is given by the formula $h = \frac{2T \cos \theta}{r \rho g}$.From this relation,we can see that $h \propto \frac{1}{r}$.If the radius $r$ is reduced to half $(r' = r/2)$,the new height $h'$ will be $h' = \frac{2T \cos \theta}{(r/2) \rho g} = 2h$.Therefore,the rise of the liquid column becomes two times,not four times.Thus,statement $(d)$ is false.

Class 11 Physics Mechanical Properties of Fluids Capillary Tube and Capillarity

Easy

Which of the following statements is false?

A
Angle of contact $\theta < 90^\circ$,if cohesive force < adhesive force
B
Angle of contact $\theta > 90^\circ$,if cohesive force > adhesive force
C
Angle of contact $\theta = 90^\circ$,if cohesive force = adhesive force
D
If the radius of the capillary is reduced to half,the rise of the liquid column becomes four times

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Mechanical Properties of Fluids

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Capillary Tube and Capillarity

If the liquid level falls in a capillary tube,then the radius of the capillary will:

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Water rises to a height of $15 \,mm$ in a capillary tube having cross-sectional area $A$. If the cross-sectional area of the tube is made $A / 3$, then the water will rise to a height of:

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$A$ capillary tube,when immersed vertically in a liquid,records a rise of $3 \, cm$. If the tube is immersed in the liquid at an angle of ${60^\circ}$ with the vertical,what is the length of the liquid column along the tube in $cm$?

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Water rises to a height of $2\, cm$ in a capillary tube. If the tube is tilted $60^{\circ}$ from the vertical,water will rise in the tube to a length of ...... $cm$.

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Water rises to a height $3$ cm in a capillary tube. If the cross-sectional area of the capillary tube is reduced to $1/3^{rd}$ of its initial area, then water will rise to a height of:

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Which of the following statements is false?

Similar Questions

If the liquid level falls in a capillary tube,then the radius of the capillary will:

Water rises to a height of $15 \,mm$ in a capillary tube having cross-sectional area $A$. If the cross-sectional area of the tube is made $A / 3$, then the water will rise to a height of:

$A$ capillary tube,when immersed vertically in a liquid,records a rise of $3 \, cm$. If the tube is immersed in the liquid at an angle of ${60^\circ}$ with the vertical,what is the length of the liquid column along the tube in $cm$?

Water rises to a height of $2\, cm$ in a capillary tube. If the tube is tilted $60^{\circ}$ from the vertical,water will rise in the tube to a length of ...... $cm$.

Water rises to a height $3$ cm in a capillary tube. If the cross-sectional area of the capillary tube is reduced to $1/3^{rd}$ of its initial area, then water will rise to a height of:

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