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Question: Two different liquids are flowing in two tubes of equal radius. The ratio of coefficients of viscosi...

Two different liquids are flowing in two tubes of equal radius. The ratio of coefficients of viscosity of liquids is 52:49 and the ratio of their densities is 13:1, then the ratio of their critical velocities will be

A

4 : 49

B

49 : 4

C

2 : 7

D

7 : 2

Answer

4 : 49

Explanation

Solution

Critical velocity v=NRηρrv = N _ { R } \frac { \eta } { \rho r }

v1v2=η1η2×ρ2ρ1=5249×113=449\frac { v _ { 1 } } { v _ { 2 } } = \frac { \eta _ { 1 } } { \eta _ { 2 } } \times \frac { \rho _ { 2 } } { \rho _ { 1 } } = \frac { 52 } { 49 } \times \frac { 1 } { 13 } = \frac { 4 } { 49 }.