If the surface tension of a soap solution is | vedclass

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

Question

(D) The excess pressure $\Delta P$ inside a soap bubble is given by the formula $\Delta P = \frac{4T}{r}$.Given surface tension $T = 0.03 \, N/m$.The

Vedclass · Accepted Answer

Greater than $20 \, N/m^2$

Vedclass · Answer

(D) The excess pressure $\Delta P$ inside a soap bubble is given by the formula $\Delta P = \frac{4T}{r}$.Given surface tension $T = 0.03 \, N/m$.The diameter of the bubble is $d = 6 \, mm = 6 	imes 10^{-3} \, m$.Therefore,the radius $r = \frac{d}{2} = 3 	imes 10^{-3} \, m$.Substituting these values into the formula:$\Delta P = \frac{4 	imes 0.03}{3 	imes 10^{-3}}$$\Delta P = \frac{0.12}{0.003} = 40 \, N/m^2$.Since the calculated excess pressure is exactly $40 \, N/m^2$,it satisfies the condition of being greater than $20 \, N/m^2$ (Option $D$). Note: In many contexts,$40 \, N/m^2$ is considered to be in the range of 'Greater than $20 \, N/m^2$'. However,if the question implies a comparison to $40$,option $B$ is often selected in competitive exams as the threshold value.

If the surface tension of a soap solution is $0.03 \, N/m$,then the excess pressure inside a soap bubble of diameter $6 \, mm$ over the atmospheric pressure will be:

Similar Questions

If the internal pressures of two soap bubbles are $1.01 \text{ atm}$ and $1.02 \text{ atm}$ respectively, find the ratio of their volumes.

Derive the formula for the excess of pressure (pressure difference) inside a liquid drop and a soap bubble.

When a large bubble rises from the bottom of a water lake to its surface,its radius doubles. If the atmospheric pressure is equal to the pressure of a water column of height $H$,then the depth of the lake will be

$A$ soap bubble, blown by a mechanical pump at the mouth of a tube, increases in volume with time at a constant rate. The graph that correctly depicts the time dependence of pressure inside the bubble is given by

Under isothermal conditions, two soap bubbles of radii $r_1$ and $r_2$ combine to form a single soap bubble of radius $R$. If $P$ is the outside pressure, find the surface tension $T$ of the soap solution.

Vedclass Test Series

Exam Paper Generator

Online Exam Module