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Question

(B) The formula for the capillary rise $h$ is given by $h = \frac{2T \cos 	heta}{r ho g}$, where $T$ is the surface tension, $	heta$ is the angle

Vedclass · Accepted Answer

$	heta_1 > 	heta_2 > 	heta_3$

Vedclass · Answer

(B) The formula for the capillary rise $h$ is given by $h = \frac{2T \cos 	heta}{r ho g}$, where $T$ is the surface tension, $	heta$ is the angle of contact, $r$ is the radius of the capillary, $ho$ is the density of the liquid, and $g$ is the acceleration due to gravity.Given that $h$, $T$, $r$, and $g$ are the same for all three liquids, we have the relation $\cos 	heta \propto ho$.Since $ho_1 As the cosine function is a decreasing function for angles between $0^\circ$ and $90^\circ$, a smaller cosine value corresponds to a larger angle.Therefore, $	heta_1 > 	heta_2 > 	heta_3$.

Three liquids have the same surface tension and densities $\rho_1, \rho_2$ and $\rho_3$ $(\rho_1 < \rho_2 < \rho_3)$. In three identical capillaries, the rise of liquid is the same. The corresponding angles of contact $\theta_1, \theta_2$ and $\theta_3$ are related as:

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