1. Tardigrade
  2. Question
  3. Physics
  4. A soap bubble, having radius of 1 mm, is blown from a detergent solution having a surface tension of 2.5 × 10-2 N / m. The pressure inside the bubble equals at a point Z 0 below the free surface of water in a container. Taking g = 1 0 m / s 2, density of water = 1 0 3 kg / m 3, the value of Z 0 is:

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A soap bubble, having radius of $1 mm$, is blown from a detergent solution having a surface tension of $2.5 \times 10^{-2} N / m$. The pressure inside the bubble equals at a point $Z _{0}$ below the free surface of water in a container. Taking $g = 1 0 m / s ^{2}$, density of water $= 1 0 ^{3} kg / m ^{3}$, the value of $Z _{0}$ is:

NEETNEET 2019Mechanical Properties of Fluids

Solution:

Excess pressure = $\frac{4T}{R}$ , Gauge pressure $= \rho g Z_0$
$P_{0} + \frac{4T}{R} = P_{0} + \rho qZ_{0}$
$ Z_{0} = \frac{4T}{R \times\rho g} $
$ Z_{0} = \frac{4\times2.5 \times10^{-2}}{10^{-3} \times1000 \times10} m $
$Z_0 = 1 \; cm $