Show that Reynold's number R=(rhov_(0)d)/(eta)is dimensionless. (rho is density of the fluid, v_(0) is the critical velocity, d is diameter through which the fluid is flowing and eta is the coefficient of viscosity of the fluid).

Show that Reynold's number R=(rhov_(0)d)/(eta)is dimensionless. (rho i

1.	Show that Reynold's number R=(rhov_(0)d)/(eta)is dimensionless. (rho is density of the fluid, v_(0) is the critical velocity, d is diameter through which the fluid is flowing and eta is the coefficient of viscosity of the fluid).
Answer» <html><body><p></p>Solution :`R=([ML^(-<a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a>)][<a href="https://interviewquestions.tuteehub.com/tag/lt-537906" style="font-weight:bold;" target="_blank" title="Click to know more about LT">LT</a>^(-1)][L])/([ML^(-1)T^(-1)])=[(ML^(-1)T^(-1))/(ML^(-1)T^(-1))]=[M^(<a href="https://interviewquestions.tuteehub.com/tag/0-251616" style="font-weight:bold;" target="_blank" title="Click to know more about 0">0</a>)L^(0)T^(0)]` <br/> `therefore R` is dimensionless.</body></html>