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Q.

Turpentine oil is flowing through a capillary tube of length l and radius r. The pressure difference between the two ends of the tube is P. The viscosity of oil is given by : η=Pr2-x24vl Here v is velocity of oil at a distance x from the axis of the tube. From this relation, the dimensional formula of η is

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a

ML-1 T-1

b

MLT-1

c

ML2 T-2

d

M0 L0 T0

answer is A.

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Detailed Solution

η=Pr2-X24vl⇒η=ML-1T-2L2LT-1[L] η=ML-1 T-1
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Turpentine oil is flowing through a capillary tube of length l and radius r. The pressure difference between the two ends of the tube is P. The viscosity of oil is given by : η=Pr2-x24vl Here v is velocity of oil at a distance x from the axis of the tube. From this relation, the dimensional formula of η is