If two glass plates have water between them a | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The pressure difference across a curved liquid surface is given by the Young-Laplace equation: $\Delta P = T \left( \frac{1}{R_1} + \frac{1}{R_2}

Vedclass · Accepted Answer

$\frac{T}{R}$

Vedclass · Answer

(A) The pressure difference across a curved liquid surface is given by the Young-Laplace equation: $\Delta P = T \left( \frac{1}{R_1} + \frac{1}{R_2} \right)$.For the cylindrical surface of water between the two plates,the two radii of curvature are $R_1 = R$ and $R_2 = \infty$ (since the surface is straight in the direction perpendicular to the cylindrical curvature).Substituting these values into the formula:$\Delta P = T \left( \frac{1}{R} + \frac{1}{\infty} \right)$Since $\frac{1}{\infty} = 0$,we get:$\Delta P = \frac{T}{R}$.However,the water film has two such interfaces (one on each side of the cylindrical meniscus),and the pressure difference is typically calculated for the entire meniscus. Given the geometry of the cylindrical surface formed between the plates,the pressure drop is $\Delta P = \frac{T}{R}$. Looking at the options provided and standard physics problems of this type,the correct expression for the pressure deficit in this specific configuration is $\frac{T}{R}$.

Similar Questions

$1000$ droplets of water,each having a diameter of $2 \ mm$,coalesce to form a single drop. Given the surface tension of water is $0.072 \ N/m$. The energy loss in the process is

The surface tension of a soap bubble is $0.03 \text{ N/m}$. The work done in increasing the diameter of the bubble from $2 \text{ cm}$ to $6 \text{ cm}$ is $\alpha \times 10^{-4} \text{ J}$. The value of $\alpha$ is . . . . . . (Take $\pi = 3.14$).

Energy needed in breaking a drop of radius $R$ into $n$ drops of radii $r$ is given by

When two soap bubbles of radii $a$ and $b$ $(b > a)$ coalesce,the radius of curvature of the common surface is:

$216$ small identical liquid drops,each of surface area $A$,coalesce to form a bigger drop. If the surface tension of the liquid is $T$,what is the energy released in the process (in $AT$)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module