Calculate the pressure inside a small air bubble of radius \( r \) situated at a depth of \( h \...

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Calculate the pressure inside a small air bubble of radius \( r \) situated at a depth of \( h \) below the free surface of liquids of densities \( \rho_{1} \) and \( \rho_{2} \) and surface tensions \( T_{1} \) and \( T_{2} \). The thickness of first and second liquids are \( h_{1} \) and \( h_{2} \). Take atmosphere pressure \( =P_{0} \).
(1) \( P_{0}+\rho_{1} g h_{1}+\rho_{2} g\left(h-h_{1}\right)-\frac{2 T_{2}}{r} \)
(2) \( P_{0}+\rho_{1} g h_{1}+\rho_{2} g\left(h-h_{1}\right)+\frac{2 T_{2}}{r} \)
(3) \( P_{0}+\rho_{1} g h_{2}+\rho_{2} g\left(h-h_{1}\right)+\frac{2 T_{2}}{r} \)
(4) None of these
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