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MHT CET · Physics · Mechanical Properties of Fluids

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. A inversely proportional to ' \(\eta\) '
  2. B directly proportional to ' \(\eta\) '
  3. C directly proportional to 'd'
  4. D directly proportional to ' \(\rho\) '
Verified Solution

Answer & Solution

Correct Answer

(B) directly proportional to ' \(\eta\) '

Step-by-step Solution

Detailed explanation

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 \(\eta\).
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