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A soap bubble in vacuum has a radius of ...

A soap bubble in vacuum has a radius of `3 cm` and another soap bubble in vacuum has a radius of `4 cm`. If the two bubbles coalesce under isothermal conditions then the radius of the new bubble is :

A

3 cm

B

4 cm

C

5 cm

D

6 cm

Text Solution

Verified by Experts

The correct Answer is:
C
Surface energy of a soap bubble ` = 8piTR^(2)`
` :. 8piT (R_(1)^(2)+R_(2)^(2))= 8 pi TR^(2) `
` :. 4^(2) +3^(2) = R^(2) " " :. R = 5 ` cm
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