Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Electric Charges and Fields

Question:

A soap bubble has radius R, charge Q, surface tension T. Find the excess pressure in it.

Options:

$\frac{32 \pi^2 R^2 \varepsilon_0 T-q^2}{32 \pi^2 R^4 \varepsilon_0}$

$\frac{64 \pi^2 R^3 \varepsilon_0 T-q^2}{32 \pi^2 R^4 \varepsilon_0}$

$\frac{128 \pi^2 R^3 \varepsilon_0 T-q^2}{32 \pi^2 R^4 \varepsilon_0}$

none of these

Correct Answer:

$\frac{128 \pi^2 R^3 \varepsilon_0 T-q^2}{32 \pi^2 R^4 \varepsilon_0}$

Explanation:

$P_{\text {exces }}=\frac{4 T}{R}-\frac{q^2}{32 \pi^2 R^4 \varepsilon_0}$