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Questions  

Pressure inside two soap bubbles are 1.01 and 1.02 atmosphere, respectively. The ratio of their volumes is :

a
8 : 1
b
0.8 : 1
c
2 : 1
d
4 : 1

detailed solution

Correct option is A

Pressure inside 1st bubble= P0+4 TR1=1.01 ⇒1+4 TR1=1.01 ⇒R1=4T0.01Pressure inside 2nd bubble=P0+4 TR2=1.02 ⇒1+4 TR2=1.02 ⇒R2=4T0.02We know that, volume ∝radius3  ⇒V1 V2=R1R23=0.020.012=81

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