Question 224: Properties of Matter

Question

Two soap bubbles of radius 2 cm and 4 cm , respectively, are in contact with each other. The radius of curvature of the common surface, in cm , is _________.

Accepted Answer

To find the radius of curvature of the common surface between two soap bubbles, we use the formula:
$ r = \left| \frac{{r_1 \cdot r_2}}{{r_1 - r_2}} ight| $
Given that $ r_1 = 2 \, 	ext{cm} $ and $ r_2 = 4 \, 	ext{cm} $, we substitute these values into the formula:
$ r = \left| \frac{2 \cdot 4}{2 - 4} ight| = \left| \frac{8}{-2} ight| = 4 \, 	ext{cm} $
Thus, the radius of curvature of the common surface is $ 4 \, 	ext{cm} $.

Properties of Matter

Two soap bubbles of radius 2 cm and 4 cm , respectively, are in contact with each other. The radius of curvature of the common surface, in cm , is _________.

Choose the correct answer: