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Q.

The excess of pressure inside a soap bubble is twice the excess pressure inside a second soap bubble. The volume of the first bubble is n times the volume of the second where n  is______

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answer is 0.125.

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Detailed Solution

The excess pressure in soap bubble p=4Tr 
Where T=  Surface Tension
r= radius of soap bubble
4Tr1=2×4Tr2 
or   r2=2r1
Given the volume of the first bubble is n times the volume of the second
 V1=nV2
43πr13=n×43πr23=n×43π2r13  
 n=0.125
 

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