G L Mittal and TARUN MITTAL Solutions for Chapter: Surface Tension, Exercise 3: FOR DIFFERENT COMPETITIVE EXAMINATIONS

Water rises in a capillary tube of radius $r$ up to a height $h$. The mass of water in the capillary tube is $m$. The mass of water that will rise in a capillary tube of radius $2r$ will be:

Water rises in a capillary, tube to a certain height such that the upward force due to surface tension is balanced by, $75\times {10}^{-4} \mathrm{N}$ force due to the weight of the liquid. If the surface tension of water is $6\times {10}^{-2}{\mathrm{Nm}}^{-1}$, the inner circumference of the capillary must be:

A glass capillary tube is of the shape of a truncated cone with an apex angle $\alpha$so that its two ends have cross-sections of different radii. When dipped in water vertically, water rises in it to a height $h$, where the radius of its cross-section is $b$. If the surface tension of water is $T$, its density is $\rho$, and its contact angle with glass is $0$, the value of $h$ will be : ($g$ is the acceleration due to gravity)

In a $20 \mathrm{cm}$ long capillary tube, water rises up to a height of $10 \mathrm{cm}$. If the system is placed in an artificial satellite revolving around earth, water will rise in it up to a height of :

A capillary tube $\left(A\right)$ is dipped in water. Another identical tube $\left(B\right)$ is dipped in a soap-water solution. Which of the following shows the relative nature of the liquid column in the two tubes?

Water is filled up to a height $h$ in a beaker of radius $R$ as shown in the figure. The density of water is $\rho$, the surface tension of water is $T$ and the atmospheric pressure is $P_0$. Consider a vertical section $ABCD$ of the water column through a diameter of the beaker. The force on the water on one side of this section by water on the other side of this section has magnitude :

Choose the wrong statement among the followings:

A thin liquid film formed between a $U$-shaped wire and a light slider supports a weight of $1.5\times {10}^{-2} \mathrm{N}$ (see figure). The length of the slider is $30 \mathrm{cm}$ and its weight negligible The surface tension of the liquid film is: