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Q. A spherical soap bubble of radius $3\, cm$ is formed inside another spherical soap bubble of radius $6 \,cm$. If the internal pressure of the smaller bubble of radius $3\, cm$ in the above system is equal to the internal pressure of the another single soap bubble of radius $r cm$. The value of $r$ is.......

JEE MainJEE Main 2022Mechanical Properties of Fluids

Solution:

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$ P _2- P _0=\frac{4 T }{6} \& P _1- P _2=\frac{4 T }{3} $
$ \Rightarrow P _1- P _0=\frac{4 T }{2}=2$