Q.

According to Newton, the viscous force acting between liquid layers of area A and velocity gradient ΔvΔz is given by F=-ηAdvdz, where η is constant called coefficient of viscosity. The dimensional formula of η is

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a

ML-2 T-2

b

M0 L0 T0

c

ML2 T-2

d

ML-1 T-1

answer is D.

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Detailed Solution

F=MLT-2 A=L2 dv=LT-1 dz=L FdzAdv=ML2T-2L3T-1=ML-1T-1
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According to Newton, the viscous force acting between liquid layers of area A and velocity gradient ΔvΔz is given by F=-ηAdvdz, where η is constant called coefficient of viscosity. The dimensional formula of η is