Test Academy | Turpentine oil is flowing through a tube of length I and radius r. The pressure difference between the two ends of the tube is P. The viscosity of oil is given by η = P(r²-x²)/(4vl), where v is the velocity of oil at a distance x from the axis of the tube. The dimensions of η are [M⁰L⁰T⁰], [MLT⁻¹], [ML²T⁻²], [ML⁻¹T⁻¹]

Question

Turpentine oil is flowing through a tube of length I and radius r. The pressure difference between the two ends of the tube is P. The viscosity of oil is given by η = P(r²-x²)/(4vl), where v is the velocity of oil at a distance x from the axis of the tube. The dimensions of η are

Options :

[M⁰L⁰T⁰]
[MLT⁻¹]
[ML²T⁻²]
[ML⁻¹T⁻¹]

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