Two soap bubbles of radii r1 and r2,r1>r2 get attached to each other to have a common interface. The radius of this interface is
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a
r1+r2
b
r1−r2
c
r1r2/r1+r2
d
r1r2/r1−r2
answer is D.
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Detailed Solution
. Let r be the radius of common interface. ThenP1−P=4Tr1 and P2−P=4Tr2 ∴ P2−P1=4T1r2−1r1 Further P2−P1=4Tr From eqs. (1) and (2), we get 4Tr=4T1r2−1r1=4πr1−r2r1I2 r=r1r2r1−r2