The excess pressure in a soap bubble is thrice that in other one. Then the ratio of their volume is

  • A

    $1:3$

  • B

    $1:9$

  • C

    $27:1$

  • D

    $1:27$

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A capillary type tube $AB$ is connected to a manometer $M$ as shown in the figure. Stopper $S$ controls the flow of air. $AB$ is dipped into a soap solution where surface tension is $T$ . On opening the stopper for a while, a bubble is formed at $B$ end of the manometer and the level difference in manometer limbs is $h$ . If $P$ is the density of manometer soap solution and $r$ the radius of curvature of bubble, then the surface tension $T$ of the liquid is given by ...