
What is the dimensional formula of dynamic viscosity?
A. [ ]
B. [ ]
C. [ ]
D. [ ]
Answer
528.3k+ views
Hint: You can always derive dimension by using formula. Split formula until end. Use basic algebra. Use the definition of Newton’s law of viscous force. Coefficient of viscosity will give dynamic viscosity.
Complete step by step solutions:
Take an example of a pipe through which water is coming out. If you will observe then velocity at the near surface of the pipe is less and as we move away from the surface the velocity is maximised. The velocity at centre is maximum. So we can assume that there must be a layer which is acting there forces on each other.
Newton’s law of viscous law:
According to this law, force exerted on a faster layer by an adjacent slower layer is proportional to 1) area of layer and 2) velocity gradient, perpendicular to direction of flow and it is given by,
Where, = dynamic viscosity
v = velocity of fluid
A = Area of layer
Dimension of force is [ ]
Dimension of area (A) is [ ]
Dimension of v is [ ]
Dimension of y is [ ]
Therefore dimension of equation of is,
[ ] =
L gets canceled in the denominator and the inverse of T gets shifted in the numerator. Final dimension is,
[ ] =
Dimension of dynamic viscosity is .
Option c) is correct.
Note: Use examples to keep concepts in mind. Like in this particular problem you can remember the pipe through which water is flowing as an example to understand the concept of dynamic viscosity. Just remember one thing either formula or definition, from this you can easily derive dimension.
Complete step by step solutions:
Take an example of a pipe through which water is coming out. If you will observe then velocity at the near surface of the pipe is less and as we move away from the surface the velocity is maximised. The velocity at centre is maximum. So we can assume that there must be a layer which is acting there forces on each other.
Newton’s law of viscous law:
According to this law, force exerted on a faster layer by an adjacent slower layer is proportional to 1) area of layer and 2) velocity gradient, perpendicular to direction of flow and it is given by,
Where,
v = velocity of fluid
A = Area of layer
Dimension of force is [
Dimension of area (A) is [
Dimension of v is [
Dimension of y is [
Therefore dimension of equation of
[
L gets canceled in the denominator and the inverse of T gets shifted in the numerator. Final dimension is,
[
Dimension of dynamic viscosity is
Option c) is correct.
Note: Use examples to keep concepts in mind. Like in this particular problem you can remember the pipe through which water is flowing as an example to understand the concept of dynamic viscosity. Just remember one thing either formula or definition, from this you can easily derive dimension.
Recently Updated Pages
Master Class 11 Business Studies: Engaging Questions & Answers for Success

Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 Computer Science: Engaging Questions & Answers for Success

Master Class 11 Maths: Engaging Questions & Answers for Success

Master Class 11 English: Engaging Questions & Answers for Success

Trending doubts
Which one is a true fish A Jellyfish B Starfish C Dogfish class 11 biology CBSE

Difference Between Prokaryotic Cells and Eukaryotic Cells

1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

1 Quintal is equal to a 110 kg b 10 kg c 100kg d 1000 class 11 physics CBSE

Net gain of ATP in glycolysis a 6 b 2 c 4 d 8 class 11 biology CBSE
