the dimensional formula of co efficient viscosity iS same as that of product of pressure and time is the correct
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Explanation:
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
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