A liquid column of height 0.04 ~cm balances excess pressure of a soap bubble of certain radius. If density of liquid is 8 × 10^3 ~kg ~m^ -3 and surface tension of soap solution is 0.28 Nm^ -1 , then diameter of the soap

Correct answer: 0 aligned & gh= 4 ~S R & R= 4 × 0.28 8 × 10^3 × 10 × 4 × 10^ -4 & (0.28)/(8) ~m=(28)/(8) ~cm & R=3.5 ~cm aligned Diameter =7 ~cm

JEE Main 20248 AprilMorning Shift

JEE Main 2024 · 8 April · Morning Shift · Physics · Mechanical Properties of Fluids

A liquid column of height 0.04 ~cm balances excess pressure of a...

A liquid column of height

0.04 \mathrm{~cm}

balances excess pressure of a soap bubble of certain radius. If density of liquid is

8 \times 10^3 \mathrm{~kg} \mathrm{~m}^{-3}

and surface tension of soap solution is

0.28 \mathrm{Nm}^{-1}

, then diameter of the soap bubble is _____

\mathrm{cm}

. (if

g=10 \mathrm{~m} \mathrm{~s}^{-2}

)

\begin{aligned} & \rho \mathrm{gh}=\frac{4 \mathrm{~S}}{\mathrm{R}} \\ & \Rightarrow \mathrm{R}=\frac{4 \times 0.28}{8 \times 10^3 \times 10 \times 4 \times 10^{-4}} \\ & \Rightarrow \frac{0.28}{8} \mathrm{~m}=\frac{28}{8} \mathrm{~cm} \\ & \Rightarrow \mathrm{R}=3.5 \mathrm{~cm}\end{aligned}

Diameter

=7 \mathrm{~cm}