A fluid of density ' $\rho$ ' is flowing through a uniform tube of diameter ' $\mathrm{d}$ '. The…

A fluid of density ' $\rho$ ' is flowing through a uniform tube of diameter ' $\mathrm{d}$ '. The coefficient of viscosity of the fluid is ' $\eta$ ', then critical velocity of the fluid is
  1. inversely proportional to ' $\eta$ '
  2. directly proportional to ' $\eta$ '
  3. directly proportional to 'd'
  4. directly proportional to ' $\rho$ '

Solution

The equation for critical velocity is given as: $\mathrm{v}=\mathrm{k} \frac{\eta}{\rho \mathrm{r}}$ $\therefore \quad$ The critical velocity is directly proportional to $\eta$. .

Asked in: MHT CET 2023 (11 May Shift 2)

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