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According to Newton, the viscous force a...

According to Newton, the viscous force acting between liquid layers of area A and velocity gradient `(Deltav)/(Deltaz)` is given by `F =- eta A (dv)/(dz)`, where `eta` is constant called

A

`[ML^(-2)T^(-2)]`

B

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

C

`[ML^(2)T^(-2)]`

D

`[ML^(-1)T^(-1)]`

Text Solution

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The correct Answer is:
D
As `F = - eta A (dv)/(dz) rArr eta =- (F)/(A((dv)/(dz)))`
As `F = [MLT^(-2)], A = [L^(2)]`
`dv = [LT^(-1)], dz = [L]`
`:. eta = ([MLT^(-2)][L])/([L^(2)][LT^(-1)]) = [ML^(-1)T^(-1)]`
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