Categories > Units and Measurements > dimensions > A spherical body of mass \[m\] and radius \[r\] is allowed to fall in a medium of viscosity \[\eta \]. The time in which the velocity of the body increases from zero to 0.63 times the terminal velocity \[(v)\] is called time constant \[(\tau )\]. Dimensionally \[\tau \] can be represented by

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Question: A spherical body of mass \[m\] and radius \[r\] is allowed to fall in a medium of viscosity \[\eta \]. The time in which the velocity of the body increases from zero to 0.63 times the terminal velocity \[(v)\] is called time constant \[(\tau )\]. Dimensionally \[\tau \] can be represented by


1) \[\frac{{m{r^2}}}{{6\pi \eta }}\]
2) \[\sqrt {\left( {\frac{{6\pi mr\eta }}{{{g^2}}}} \right)} \]
3) \[\frac{m}{{6\pi \eta rv}}\]
4) None of the above
Solution: Explanation: Explanation
dimensions

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