(C) The height to which water rises in a capillary tube is given by $h = \frac{2T \cos \theta}{r \rho g}$.If the actual length of the tube $L$ is less

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water rises up to the top of the capillary tube and stays there without overflowing.

(C) The height to which water rises in a capillary tube is given by $h = \frac{2T \cos \theta}{r \rho g}$.If the actual length of the tube $L$ is less than the equilibrium height $h$,the water will rise to the top of the tube.At the top,the radius of curvature $R$ of the meniscus will adjust such that $h' = \frac{2T \cos \theta'}{R \rho g} = L$,where $h' Since the pressure at the top remains balanced by the surface tension,the water will not overflow but will stay at the top of the tube with a modified radius of curvature.

Class 11 Physics Fluid Mechanics and Surface Tension Capillary Tube and Capillarity

Easy

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

AIPMT 2015 All AIPMT

A
water does not rise at all.
B
water rises up to the tip of the capillary tube and then starts overflowing like a fountain.
C
water rises up to the top of the capillary tube and stays there without overflowing.
D
water rises up to a point a little below the top and stays there.

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Class 11

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Fluid Mechanics and Surface Tension

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Capillary Tube and Capillarity

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AIPMT 2015 Paper All AIPMT years →

Two capillary tubes of radii $R$ and $2R$ are dipped in water. The water rises to heights $h_1$ and $h_2$ respectively in the two tubes. If $m_1$ and $m_2$ be the masses of water ascended in the tubes,then $m_1: m_2=$

DifficultAP EAMCET 2020

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If the surface tension of water is $0.06 \, N/m$,then the capillary rise in a tube of diameter $1 \, mm$ is ....... $cm$ (assume $\theta = 0^\circ$,$g = 10 \, m/s^2$,and density of water $\rho = 1000 \, kg/m^3$).

Medium

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Water rises to a height of $10$ cm in a capillary tube and mercury falls to a depth of $3.112$ cm in the same capillary tube. If the density of mercury is $13.6 \text{ g/cm}^3$ and the angle of contact for mercury is $135^o$,the ratio of surface tension of water and mercury is (Assume density of water = $1 \text{ g/cm}^3$ and angle of contact for water = $0^o$)

MediumAIIMS 2012

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Three liquids have the same surface tension and densities $\rho_1, \rho_2$ and $\rho_3$ $(\rho_1 < \rho_2 < \rho_3)$. In three identical capillaries, the rise of liquid is the same. The corresponding angles of contact $\theta_1, \theta_2$ and $\theta_3$ are related as:

DifficultMHT CET 2026

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Given below are two statements:
Statement $I$: The contact angle between a solid and a liquid is a property of the material of the solid and liquid as well.
Statement $II$: The rise of a liquid in a capillary tube does not depend on the inner radius of the tube.
In the light of the above statements,choose the correct answer from the options given below:

DifficultJEE MAIN 2024

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

Similar Questions

Two capillary tubes of radii $R$ and $2R$ are dipped in water. The water rises to heights $h_1$ and $h_2$ respectively in the two tubes. If $m_1$ and $m_2$ be the masses of water ascended in the tubes,then $m_1: m_2=$

If the surface tension of water is $0.06 \, N/m$,then the capillary rise in a tube of diameter $1 \, mm$ is ....... $cm$ (assume $\theta = 0^\circ$,$g = 10 \, m/s^2$,and density of water $\rho = 1000 \, kg/m^3$).

Three liquids have the same surface tension and densities $\rho_1, \rho_2$ and $\rho_3$ $(\rho_1 < \rho_2 < \rho_3)$. In three identical capillaries, the rise of liquid is the same. The corresponding angles of contact $\theta_1, \theta_2$ and $\theta_3$ are related as:

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