Two soap bubbles of radii a and b combine to form a single bubble of radius c. If P is the external pressure, then the surface tension of the soap solution is
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a
Pc3+a3+b34a2+b2−c2
b
Pc3−a3−b34a2+b2−c2
c
Pc3−4a2−4b2
d
Pc2−2a2−3b2
answer is B.
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Detailed Solution
Assuming isothermal conditions,P+4σa43πa3+P+4σb43πb3=P+4σc43πc3 or Pa3+b3−c3=4σc2−a2−b2 or σ=Pc3−a3−b34a2+b2−c2