First slide

Surface tension

Question

If two soap bubbles of radii R₁ and R₂are combined in vacuum (in isothermal conditions) to form a single soap bubble, then radius of combined soap bubble is :

Easy

A

$\frac{R_{1} R_{2}}{R_{1} + R_{2}}$
B

$\sqrt{R_{1}^{2} + R_{2}^{2}}$
C

$\frac{R_{1} + R_{2}}{2}$
D

$\frac{R_{1} R_{2}}{R_{1} - R_{2}}$

Solution

4 $π R^{2} = 4 π {R^{2}}_{1} + 4 π {R^{2}}_{2}$
R = $\sqrt{{R^{2}}_{1} + {R^{2}}_{2}}$

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