Define coefficient of viscosity and obtain …

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Define coefficient of viscosity and obtain its dimensional formula

Posted by Rohan Jonko 5 years, 7 months ago

CBSE > Class 11 > Physics

3 answers

Harender Singh 5 years, 7 months ago

Coefficient of viscosity is equal the viscos force when area and velocity gardient is unity.

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Mr. Singh 5 years, 7 months ago

Coefficient of viscosity of a liquid is numerically equal to viscous force per unit area, which maintain a unit velocity gradient between two parallel layers. Dimensional formula of viscosity is [ML-1T].

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Yogita Ingle 5 years, 7 months ago

Coefficient of viscosity is defined as tangential force required to maintain a unit velocity gradient between two parallel layers of liquid of unit area.
>Mathematically,
Coefficient of viscosity (η)= Fr/Av where F = tangential force, r = distance between the layers , v = velocity.
Dimensional Formula of Force = M¹L¹T^-2
Dimensional Formula of Area= M⁰L²T⁰
Dimensional Formula of distance= M⁰L¹T⁰
Dimensional Formula of velocity= M⁰L¹T^-1
Putting these values in above equation we get,
[η]= [M¹L¹T^-2][M⁰L¹T⁰] / [M⁰L²T⁰] [M⁰L¹T^-1] = [M¹L^-1T^-1]
Dimensional Formula of Coefficient of viscosity (η)=[M¹L^-1T^-1]
SI unit of Coefficient of viscosity (η) is Pascal-second