Question

What are the base units of k so that the equation of velocity (v) = k x density

Answer 1

Explanations & Calculations

• Dimensional analysis is what practised in these types of questions

$\qquad\qquad \begin{aligned} \small [v]&= \small [k\rho]=[k]\times [\rho]\\ \small LT^{-1}&= \small [k]\times ML^{-3}\\ \small [k]&= \small M^{-1}L^4T^{-1} \end{aligned}$

• Considering the relevant units yeilds

$\qquad\qquad\small \text{Units of k}=kg^{-1}m^4s^{-1}$