A thin flat circular disc of radius \(4.5~\text {cm}\) is placed gently over the surface of water. If surface tension of water is \(0.07~\text{Nm}^{-1},\) then the excess force required to take it away from the surface is:
1. \(198~\text{N}\)
2. \(1.98~\text{mN}\)
3. \(99~\text{N}\)
4. \(19.8~\text{mN}\)
Subtopic:  Surface Tension |
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A wire of length \(L\) and radius \(r(r<<L)\) is kept floating on the surface of a liquid of density \(\rho\). The maximum radius of the wire for which it may not sink is (Surface tension of liquid is \(T\)): 
1. \(\sqrt { \dfrac{T}{\rho g}}\)
2. \(\sqrt { \dfrac{2T}{\rho g}}\)
3. \(\sqrt{\dfrac{2T\rho}{\pi g}}\)
4. \(\sqrt{\dfrac{2T} {\pi \rho g}}\)
Subtopic:  Surface Tension |
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The amount of energy required to form a soap bubble of radius \(2~\text{cm}\) from a soap solution is nearly:
\((\)surface tension of soap solution \(0.03~\text{Nm}^{-1})\)
1. \(50.1 \times 10^{-4}~\text{J}\)
2. \(30.16 \times 10^{-4}~ \text{J}\)
3. \(5.06 \times 10^{-4} ~\text{J}\)
4. \(3.01\times 10^{-4} ~\text{J}\)
Subtopic:  Surface Tension |
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If a soap bubble expands, the pressure inside the bubble:
1. is equal to the atmospheric pressure
2. decreases
3. increases
4. remains the same
Subtopic:  Surface Tension |
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Air is pushed carefully into a soap bubble of radius \(r\) to double its radius. If the surface tension of the soap solution is \(T,\) then work done in the process is:

1. \(12\pi r^2T\) 2. \(24\pi r^2T\)
3. \(4\pi r^2T\) 4. \(8\pi r^2T\)
Subtopic:  Surface Tension |
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A liquid does not wet the solid surface if the angle of contact is:
1. equal to \(45^{\circ}\)
2. equal to \(60^{\circ}\)
3. greater then \(90^{\circ}\)
4. zero 

Subtopic:  Surface Tension |
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A soap bubble, having a radius of \(1~\text{mm}\), is blown from a detergent solution having a surface tension of\(2.5\times 10^{-2}~\text{N/m}\). The pressure inside the bubble equals at a point \(Z_0\) below the free surface of the water in a container. Taking \(g = 10~\text{m/s}^{2}\), the density of water \(= 10^{3}~\text{kg/m}^3\), the value of \(Z_0\) is:


1. \(0.5~\text{cm}\)
2. \(100~\text{cm}\)
3. \(10~\text{cm}\)
4. \(1~\text{cm}\)
Subtopic:  Surface Tension |
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A rectangular film of liquid is extended from \((4~\text{cm} \times 2~\text{cm})\) to \((5~\text{cm} \times 4~\text{cm}).\) If the work done is \(3\times 10^{-4}\) J, the value of the surface tension of the liquid is:
1. \(0.250\) Nm–1
2. \(0.125\) Nm–1
3. \(0.2\) Nm–1
4. \(8.0\) Nm–1

Subtopic:  Surface Tension |
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A certain number of spherical drops of a liquid of radius \({r}\) coalesce to form a single drop of radius \({R}\) and volume \({V}\). If \({T}\) is the surface tension of the liquid, then:

1. energy \(= 4{VT}\left( \frac{1}{{r}} - \frac{1}{{R}}\right)\) is released.
2. energy \(={ 3{VT}\left( \frac{1}{{r}} + \frac{1}{{R}}\right)}\) is released.
3. energy \(={ 3{VT}\left( \frac{1}{{r}} - \frac{1}{{R}}\right)}\) is released.
4. energy is neither released nor absorbed.

Subtopic:  Surface Tension |
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The wettability of a surface by a liquid depends primarily on:
1. surface tension.
2. density.
3. angle of contact between the surface and the liquid.
4. viscosity.
Subtopic:  Surface Tension |
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