Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Units and Measurements

Question:

Which one of the following relations is dimensionally consistent where h is height to which a liquid of density $\rho$ rises in a capillary tube of radius r, T is the surface tension of the liquid, θ the angle of contact and g the acceleration due to gravity

Options:

$h=\frac{2 T \cos \theta}{r \rho g}$

$h=\frac{2 T r}{\rho g \cos \theta}$

$h=\frac{2 \rho g \cos \theta}{2Tr}$

$h=\frac{2Tr \rho g}{\cos \theta}$

Correct Answer:

$h=\frac{2 T \cos \theta}{r \rho g}$