A thin flat circular disc of radius \(4.5~\text {cm}\) is placed gently over the surface of water. If the 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 pressure experienced by a swimmer \(20~\text{m}\) below the water surface in a lake is appropriately:
(Given density of water = \(10^3 ~\text{kgm}^{-3},~ g=10 ~\text{ms}^{-2} \) and \(1~\text{atm} = 10^5~\text{Pa}\))
1. \(1~\text{atm}\) 2. \(2~\text{atm}\)
3. \(3~\text{atm}\) 4. \(4~\text{atm}\)
Subtopic:  Pressure |
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An ideal fluid is flowing in a non-uniform cross-sectional tube \(XY\) (as shown in the figure) from end \(X\) to end \(Y.\) If \(K_1\) and \(K_2\) are the kinetic energies per unit volume of the fluid at \(X\) and \(Y\) respectively, the correct relationship between \(K_1\)​ and \(K_2\)​ is: 
                    
1. \(K_1=K_2\)
2. \({2K}_1={K}_2\)
3. \({K}_1>{K}_2\)
4. \({K}_1<{K}_2\)
Subtopic:  Bernoulli's Theorem |
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The venturi-meter works on:
1. The principle of perpendicular axes
2. Huygen's principle
3. Bernoulli's principle
4. The principle of parallel axes
Subtopic:  Bernoulli's Theorem |
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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:
\((\)the 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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Which of the following statements is not true?
1. The coefficient of viscosity is a scalar quantity.
2. Surface tension is a scalar quantity.
3. Pressure is a vector quantity.
4. Relative density is a scalar quantity.
Subtopic:  Pressure |
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The viscous drag acting on a metal sphere of diameter \(1\) mm, falling through a fluid of viscosity \(0.8\) Pa-s with a velocity of \(2\) m s–1 is nearly equal to:
1. \(15\times 10^{-3}~\text{N}\)
2. \(30\times 10^{-3}~\text{N}\)
3. \(1.5\times 10^{-3}~\text{N}\)
4. \(20\times 10^{-3}~\text{N}\)
Subtopic:  Stokes' Law |
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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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A spherical ball is dropped in a long column of a highly viscous liquid. The curve in the graph shown, which represents the speed of the ball (\(v\)) as a function of time (\(t\)) is:
           
1. \(D\)
2. \(A\)
3. \(B\)
4. \(C\)
Subtopic:  Viscosity |
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