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Under isothermal conditions two soap bubbles of radii a and b coalesce to form a single bubble of radius c. If external pressure is P0, the surface tension is equal to :

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a
P0a3+b3-c34a2+b2+c2
b
4P0a3+b3-c3a2+b2-c2
c
P0c3-a3-b34a2+b2-c2
d

P0a3+b3-c34a2-b2-c2

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detailed solution

Correct option is C

PV = P1V1 + P2V2

P0+4TRV=P0+4TR1V1+P0+4TR2V2

P0+4TR43πR3=P0+4TR143πR13+P0+4TR243πR23

P0R3+4TR2=P0R13+4TR12+P0R23+4TR22

P0R3-R13-R23=4TR12+R22-R2

T=P0c3-a3-b34a2+b2-c2
 

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