Match column-I with column-II.
Column - I Column-II
A. Surface tension P. \([M^0L^0T^0]\)
B. Coefficient of viscosity Q. \([M^0L^3T^{-1}]\)
C. Reynold's number R. \([ML^0T^{-2}]\)
D. Volume flow rate S. \([ML^{-1}T^{-1}]\)
 
1. A → P, B → Q, C → S, D → R 
2. A → R, B → S, C → P, D → Q
3. A → Q, B → R, C → P, D → S
4. A → Q, B → R, C → S, D → P
Subtopic:  Viscosity |
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The property of liquid by which it opposes the flow of itself is called:
1. surface tension
2. bulk modulus
3. viscosity
4. shear modulus
Subtopic:  Viscosity |
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A small rigid spherical ball of mass \(M\) is dropped in a long vertical tube containing glycerine. The velocity of the ball becomes constant after some time. If the density of glycerine is half of the density of the ball, then the viscous force acting on the ball will be (consider \(g\) as acceleration due to gravity)
1. \(\dfrac {Mg}{2}\)

2. \(\dfrac {3}{2} Mg\)

3. \(2Mg\)

4. \(Mg\)
Subtopic:  Viscosity |
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The correct dimensional formula of coefficient of viscosity is:
1. \(\left[\mathrm{M}^2 \mathrm{~L}^1 \mathrm{~T}^{-1}\right]\)
2. \(\left[\mathrm{M}^0 \mathrm{~L}^0 \mathrm{~T}^{-1}\right]\)
3. \(\left[\mathrm{M}^1 \mathrm{~L}^2 \mathrm{~T}^{-1}\right]\)
4. \(\left[\mathrm{ML}^{-1} \mathrm{~T}^{-1}\right]\) 
 
Subtopic:  Viscosity |
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A small ball of mass \( m\) and density \(\rho\) is dropped in a viscous liquid of density \(\rho_0.\) After sometime, the ball falls with constant velocity. The viscous force on the ball is :
1. \(\mathrm{mg}\left(\frac{\rho_0}{\rho}-1\right)\)
2. \(\mathrm{mg}\left(1-\rho \rho_0\right)\)
3. \(\mathrm{mg}\left(1+\frac{\rho}{\rho_0}\right)\)
4. \(\mathrm{mg}\left(1-\frac{\rho_0}{\rho}\right)\)
Subtopic:  Viscosity |
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Out of air and liquid, which substance is more viscous?
1. Air
2. Liquid
3. Both have the same viscosity
4. None of these  
Subtopic:  Viscosity |
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The velocity of the upper layer of water in a river is \(36~\text{kmh}^{-1}.\) Shearing stress between horizontal layers of water is \(10^{-3}~\text{Nm}^{-2}.\) The depth of the river is:
(coefficient of viscosity of water is \(10^{-2}~\text {Pa-s}\) )
1. \(100~\text m\)
2. \(200~\text m\)
3. \(300~\text m\)
4. \(400~\text m\)
Subtopic:  Viscosity |
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A liquid drop of radius \(R \) is divided into \(27\) identical drops. If the surface tension of the drops is \(T,\) then the work done in this process is:
1. \(4\pi R^2T \)
2. \(3\pi R^2T\)
3. \(8\pi R^2T\)
4. \(\frac{1}{8}\pi R^2T\)
Subtopic:  Viscosity |
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Choose the correct statement among the following:
1. As temperature increases, the viscosity of a liquid decreases.
2. As temperature increases, the viscosity of gas increases.
3. As temperature decreases, the viscosity of gas increases.
4. Both (1) and (2)
 
 
Subtopic:  Viscosity |
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Spherical balls of radius 'r' are falling in a viscous fluid of viscosity 'η' with a velocity 'v'. The retarding viscous force acting on the spherical ball is 

(1) inversely proportional to 'r' but directly proportional to velocity 'v'.

(2) directly proportional to both radius 'r' and velocity 'v'.

(3) inversely proportional to both radius 'r' and velocity 'v'.

(4) directly proportional to 'r' but inversely proportional to 'v'.

Subtopic:  Viscosity |
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