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(B) The formula for the critical velocity $(v_c)$ of a fluid flowing through a pipe is given by Reynolds number $(R_e)$:$R_e = \frac{\rho v_c d}{\eta}

Vedclass · Accepted Answer

directly proportional to $\eta$

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(B) The formula for the critical velocity $(v_c)$ of a fluid flowing through a pipe is given by Reynolds number $(R_e)$:$R_e = \frac{\rho v_c d}{\eta}$Rearranging for critical velocity $(v_c)$:$v_c = \frac{R_e \eta}{\rho d}$From this expression,it is clear that the critical velocity $(v_c)$ is directly proportional to the coefficient of viscosity $(\eta)$ and inversely proportional to the density $(\rho)$ and the diameter $(d)$ of the tube.Therefore,the correct statement is that the critical velocity is directly proportional to $\eta$.

$A$ fluid of density $\rho$ is flowing through a uniform tube of diameter $d$. The coefficient of viscosity of the fluid is $\eta$. The critical velocity of the fluid is:

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