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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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Knowledge Check

  • What is SI units of viscosity coefficient (eta) ?

    A
    Pascal
    B
    Ns `m^(-2)`
    C
    `km^(-2)`s
    D
    N `m^(-2)`
  • The SI unit of viscosity coefficient is

    A
    `N s m^(-2)`
    B
    `Pa s`
    C
    `kg m^(-1) s^(-1)`
    D
    All of these
  • What is the SI unit of denisty?

    A
    g `cm^(-3)`
    B
    `g m^(-3)`
    C
    `kg m^(-3)`
    D
    `kg cm^(-3)`
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    The coefficient of viscosity n of a fluid moving steadily between two surfaces is given by the formula, f = nA(dV)/(dx) where f is the frictional force on the fluid, A is an area in the fluid and dV//dx is the velocity gradient inside the fluid at that area. The SI unit of viscosity coefficient n is given as.

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