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Viscous force acting between two layers ...

Viscous force acting between two layers of liquid having area A and velocity gradient `(Deltav)/(Deltaz)` is given by `F = etaA(Deltav)/(Deltaz)` . Find dimension of `eta`.

A

`M^(1)L^(-2)T^(-2)`

B

`M^(0)L^(0)T^(0)`

C

`M^(1)L^(-1)T^(-1)`

D

`M^(1)L^(2)T^(-2)`

Text Solution

Verified by Experts

`F= etaA(Deltav)/(Deltaz) " " DeltaZ`= distance
`:. eta=(FDeltav)/(ADeltaz) " " DeltaV`= velocity
`:.[eta]=([F][Deltaz])/([A][Deltav])`
`=((M^(1)L^(1)T^(-2))(M^(0)L^(1)T^(0)))/((M^(0)L^(2)T^(0))(M^(0)L^(1)T^(-1)))`
`=M^(1)L^(-1)T^(-1)`
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