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Question

Question: Excess pressure of one soap bubble is four times more than the other. Then the ratio of volume of fi...

Excess pressure of one soap bubble is four times more than the other. Then the ratio of volume of first bubble to another one is

A

1 : 64

B

1 : 4

C

64 : 1

D

1 : 2

Answer

1 : 64

Explanation

Solution

r2r1=4\therefore \frac { r _ { 2 } } { r _ { 1 } } = 4 and V1V2=(r1r2)3=164\frac { V _ { 1 } } { V _ { 2 } } = \left( \frac { r _ { 1 } } { r _ { 2 } } \right) ^ { 3 } = \frac { 1 } { 64 }