A soap bubble of radius \( r \) is placed on another soap bubble of radius \( R \). What is the ...

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A soap bubble of radius \( r \) is placed on another soap bubble of radius \( R \). What is the radius of the film separating the two bubbles ?
(a) \( \frac{R r}{R-r} \)
(b) \( \frac{R r}{R+r} \)
(c) \( \frac{R}{R+r} \)
(d) \( \frac{r}{R+r} \)
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