AP EAMCET · PHYSICS · Units and Dimensions
The volume of a liquid is proportional to......, given its density \(\rho\), viscosity \(\eta\) and \(t\) the time of flow through a capillary tube of length \(L\) and radius \(R\), with a pressure difference \(p\) across its ends
- A \(\frac{p^2 R^2 t}{\eta L}\)
- B \(\frac{p R^4}{\eta L t}\)
- C \(\frac{p R^4 t}{\eta L}\)
- D \(\frac{p^2 R^2 t}{\eta L^2}\)
Answer & Solution
Correct Answer
(C) \(\frac{p R^4 t}{\eta L}\)
Step-by-step Solution
Detailed explanation
Given, density of liquid \(=\rho\) Viscosity \(=\eta\) Time of flow \(=t\), Length of tube \(=L\) Radius of cross-section \(=R\) Pressure difference between end \(s=p\) According to Poiseuille's formula, the rate of flow of liquid through a horizontal tube…
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