Turpentine oil is flowing through a tube of length `L` and radius `r`. The pressure difference between the two ends of the tube is `p` , the viscosity of the coil is given by `eta = (p (r^(2) - x^(2)))/(4 vL)`, where `v` is the velocity of oil at a distance `x` from the axis of the tube. From this relation, the dimensions of viscosity `eta` areA. `[M^(0)L^(0)T^(0)]`B. `[MLT^(-1)]`C. `[ML^(2)T^(-2)]`D. `[ML^(-1)T^(-1)]`

Turpentine oil is flowing through a tube of length `L` and radius `r`.

1.	Turpentine oil is flowing through a tube of length `L` and radius `r`. The pressure difference between the two ends of the tube is `p` , the viscosity of the coil is given by `eta = (p (r^(2) - x^(2)))/(4 vL)`, where `v` is the velocity of oil at a distance `x` from the axis of the tube. From this relation, the dimensions of viscosity `eta` areA. `[M^(0)L^(0)T^(0)]`B. `[MLT^(-1)]`C. `[ML^(2)T^(-2)]`D. `[ML^(-1)T^(-1)]`
Answer» Correct Answer - b `eta=(p(r^(2)-x^(2)))/(4vl)=([ML^(-1)T^(-2)][L^(2)])/([LT^(-1)][L])=[ML^(-1)T^(-1)]`

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