Two spherical soap bubbles of radii a and b in vacuum coalesce under isothermal conditions. The resulting bubble has a radius given by

Question

Two spherical soap bubbles of radii a and b in vacuum coalesce under isothermal conditions. The resulting bubble has a radius given by, a + b 2, a b a + b, a 2 + b 2, a + b

MARKS App · Accepted Answer

Since, the bubbles coalesce in vacuum and there is no change in temperature, hence its surface energy does not change. This means that the surface area remains unchanged. Hence, 4 π a 2 + 4 π b 2 = 4 π R 2 or R = a 2 + b 2

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