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What is SI unit of viscosity coefficient...

What is `SI` unit of viscosity coefficient `(eta)` ?

A

Pascal

B

`Nsm^(-2)`

C

`Km^(-2)s`

D

`Nm^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
B
The SI unit of viscosity coefficient `(eta)` is `Nm^(-2)s` or `Nsm^(-2)`.
`{:("As we know that,",f=eta A (dv)/(dx)),("where,",f="force"),(,eta="viscosity coefficient"),(,(dv)/(dx)="velocity gradient"):}`
Substitute SI units of `f=N, dx=m, A=m^(2)` and `v=ms^(-1)`
in above equation, to get,
`eta=(Nxxm)/(m^(2)xxms^(-1))=Nm^(-2)s`
Hence, the si unit of `eta=` is `nsm^(-2)`
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