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 _______________.
Show Hint
The radius of curvature of the common surface of two soap bubbles in contact is calculated using the formula r=r1−r2r1⋅r2.
For two soap bubbles in contact, the radius of curvature r of the common surface is given by:
r=r1−r2r1⋅r2
where r1=4cm and r2=2cm:
r=4−22×4=28=4cm
Thus, the answer is 4.