Dimensional formula of coefficient of viscosity Viscosity Definition The definition of viscosity is as follows: Viscosity is a measure of a fluid’s resistance to flow. ) The dimensional formula of viscosity is [ML -1 T -1]. According to Newton’s law of viscosity Force of friction F = η d u d y where η denotes the coefficient of viscosity, du denotes the change in the velocity of The dimensional formula for viscosity is [M L−1T −1]. The dimensional formula for force is M LT −2, and for area is L2. Step 3 Dimensional formula for η = ML−1T−1ML−1T−1, and it is equivalent to Kg m-1 s -1 Viscosity of Water in SI Units The coefficient of viscosity of water can be determined by using Poiseuille's law. The velocity gradient has the dimensional formula T −1. SI Unit of Coefficient of Viscosity Every liquid has its specific viscosity and the measure of this attribute is called the coefficient of viscosity. S. It is constant for a liquid and depends on its liquid’s nature. Also, learn about the Coefficient of Viscosity of Liquid and Water with the help of mathematical representations. G. Concepts: Dimensional analysis, Physics Explanation: Dimensional formulas are used to express the dimensions of a physical quantity in terms of the basic quantities (mass, length, time, etc. Poiseuille's equation for the flow of liquid determines the volume of the liquid flowing through a capillary tube in a unit of time. Explore how it affects fluid flow and resistance in various applications where, \ ( \eta \) is the proportioality constant. The fundemantal quantity which has the same power in the dimensional formula of surface tension and coefficient of viscosity is: Oct 11, 2022 · Write the dimensional formula of coefficient of viscosity (A) \ ( \left [M^ {1} L^ {2} T^ {-3}\right] \) (B) \ ( \left [M^ {1} L^ {-1} T^ {-1}\right] \) (C) \ ( \left Apr 30, 2023 · What is the dimensional formula of : coefficient of viscosity 9 mins ago Discuss this question LIVE 9 mins ago One destination to cover all your homework and assignment needs Learn Practice Revision Succeed Instant 1:1 help, 24x7 60, 000+ Expert tutors Textbook solutions Big idea maths, McGraw-Hill Education etc Essay review Get expert feedback Dimensional formula for coefficient of viscosity \ ( (\eta)\) Use [\ ( \mathrm {F}=6 \pi \eta r \mathrm {v} \) ( \ ( \mathrm {r}= \) radius; \ ( \mathrm {v}= \) velocity; \ ( \mathrm {F Viscosity Measurement The viscosity is calculated in terms of the coefficient of viscosity. Therefore, viscosity is dimensionally represented as [M1 L-1 T-1]. Thus, the correct answer is (B). Dimensional Formula of Coefficient of Viscosity #cbse #physicsonline #medicalentranceexam #iitjee 148 Dislike The correct dimensional formula for the coefficient of viscosity is [ML 1 T 1]. Explore the dimensional formula of Viscosity, understand its derivation, and learn about other related dimensional formulas. See full list on vedantu. Complete step by step answer: We know the formula for coefficient of viscosity is, Question The dimensional formula of coefficient of viscosity is [M LT −1] [M L−1T −1] [M −1L2T −2] none A The dimensional formula for coefficient of kinematic viscosity is : View Solution Q 5 dimensional formula of coefficient of viscosity interms of momentum,area and time LOVABLE PHYSICS 8. Dive deep into the world of Fluid Mechanics with Testbook. hello students in this video explained about dimensional formula of Coe May 6, 2018 · Mathematically, Coefficient of viscosity (η)= Fr/Av ——- F= tangential Force, Area, r= distance between the layers, v= velocity. ). unit of viscosity is: Hint: Dimensional formula is representation of a formula in dimensional form, at first we take the coefficient of viscosity formula, and then we compare it with the dimensional analysis figures that is, M for mass, L for length, T for time. 23K subscribers Subscribed Jul 15, 2024 · Find an answer to your question Dimensional formula for coefficient of viscosity (n) [use F = 6πr v (r = radius ; v = velocity ; F- viscous force)] (A) ML-2T-1 (B… The formula for dimensional viscosity also needs to be known so that the problems that come based on them can be easily resolved. Step By Step Answer: Formula Used- F = η d u d y. com Viscosity = Force × [Area × Velocity] -1 × Distance between layers. The SI unit of viscosity is poiseiulle (PI). Get the accurate M, L, T dimensions. Learn the step-by-step derivation from the definition relating force, area, and velocity gradient. Therefore, the dimensional formula for stress is M L−1T −2. We can write, \ ( \displaystyle {\eta=-\frac {F} {A\cdot\frac {du} {dz}}} \) This is known as Newton’s law of viscous flow for the streamline Feb 23, 2021 · Dimensional formula of Coefficient of Viscosity class 11Physics by physics study time. The negative sign indicates that the direction of force is opposite to that of the viscosity of the liquid. Jul 23, 2025 · The dimensional formula of the coefficient of viscosity can be represented as: [η]= [L]/ [T] [M] where, [M] is the Mass [L] is the Length [T] is the Time This formula clarifies how the viscosity coefficient depends on these basic parameters, offering a thorough comprehension of its physical nature. Find the dimensional formula of viscosity. com. In the case of liquids and fluids, the term viscosity relates to the thickness of the fluid. Step 2 The dimensional formula for force is given by [F] = [M LT −2]. What is the dimensional formula for Coefficient of Viscosity In engineering and science, dimensional analysis is the analysis of the relationships between di Click here👆to get an answer to your question ️ dimensional formula for coefficient of viscosityetause f 6 pi eta r v r Dislikedimensional formula of coefficient of viscosity || #shorts. Dimensional Formula of Coefficient of Viscosity The dimensional formula of Coefficient of Viscosity is given by, M1 L-1 T-1 Where, M = Mass L = Length T = Time Dimensional Formula of Coefficient of Viscosity The literal meaning of the term viscosity defines fluid state when it is in a thicker consistency, such as honey and molasses. 84M subscribers 687 Hint: Here, we will proceed by expressing the coefficient of viscosity in terms quantities whose dimensional formulas are known which can be done by using Newton’s law of viscosity. Putting these values in above equation we get, Jul 23, 2025 · In the CGS system, the unit of coefficient of viscosity is dynes s cm-2 or Poise In the SI system the unit of coefficient of viscosity N s m-2 or deca-poise Dimensional formula for the coefficient of viscosity is [ML-1 T-1] Variation of Viscosity The coefficient of viscosity depends on the following mentioned factors. The units, derivation are important too. Learn the dimension of viscosity, its formula, and importance in fluid mechanics. Step by Step Solution: Step 1 The dimensional formula for the coefficient of viscosity is given by [η] =[M L−1T −1]. The coefficient of viscosity of fluids will be decreased as the temperature Content to be covered in this video Dimensional formula of Coefficient of Viscosity with notesLink for other Dimensional formulae https://youtu. Jul 2, 2025 · The coefficient of viscosity is used to calculate the viscosity. In this article, let us know about the coefficient of viscosity and its units in brief. The Poiseuille’s method is formally used to estimate the coefficient of viscosity, in which the liquid flows through a tube at the different level of pressures. To find the dimensional formula for the coefficient of viscosity, we can start from its definition. The coefficient of viscosity has the dimensional formula Doubtnut 3. One poise, i. Dimensional Formula of Force = M1L1T-2. In physics, when we describe the dimensional formula of viscosity, it is conceptualised as quantifying the frictional force that arises between the adjacent layers of liquid when they are in relative motion. The viscosity is calculated in terms of the coefficient of viscosity. The coefficient of viscosity η is defined as the tangential force F required to maintain a unit velocity gradient between two parallel layers of liquid of unit area A. Test Your Knowledge On Dimensions Of Viscosity! What is the dimensional formula of Coefficient of Viscosity? The dimensional formula of Coefficient of Viscosity is [M^1 L^-1 T^-1], where M = Mass, L = Length, T = Time. be/PHnr0Y6pPn The coefficient of viscosity (η) is defined as the force per unit area (stress) required to maintain a unit velocity gradient (rate of shear strain) in a fluid. Understand the concept of Coefficient of Viscosity, its unit and dimensional formula. e, C. Coefficient of viscosity is closely related to topics such as viscosity and surface tension, physical properties of liquids, dimensional analysis, and cohesion/adhesion. Coefficient of viscosity (η)= Fr/Av ——- F= tangential Force, Area, r= distance between the layers, v= velocity. Dimensional Formula of velocity= M0L1T-1. The coefficient of viscosity (η) can be expressed using the formula: η= F ⋅T A⋅V Where: - F is the force, - T is the time, - A is the area, - V is the velocity. Thus, the dimensional formula for the Jun 4, 2022 · In this Video we will find the dimensional formula of gravitational constant, dimensional formula of resistance, dimensional formula of coefficient of viscosity हमारे App के Android Feb 4, 2024 · [ML-1T-1] is the dimensional formula for viscosity. Dimensional Formula of distance= M0L1T0. Dimensional Formula of Force = M 1 L 1 T -2. The viscosity of liquids reduces fast as the temperature rises, but the viscosity of gases rises as the temperature rises. Its other units are newton-second per square metre (N s m -2) or pascal-second (Pa s. The viscosity of liquids decreases rapidly with an increase in temperature, and the Coefficient of viscosity ηFxAv F tangential Force A Area x distance between the layers v velocity Dimensional Formula of Force M1L1T2 Dimensional Formula of Area Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube. Dimensional Formula of Area= M0L2T0. Step 1: Identify the dimensions of each variable 1. It is called the coefficient of viscosity. Check all information about Coefficient of Viscosity like meaning, definition, types, applications, formula and more here. Or, η = [M 1 L 1 T -2] × [M 0 L 2 T 0] -1 × [M 0 L 1 T -1] -1 × [M 0 L 1 T 0] = [M 1 L -1 T -1]. xigk zgs9v k7v e1gr c9d1 vvhie exc6d frophw ql6w 19f