When an air bubble of radius $r$ rises from the bottom to the surface of a lake, its radius becomes $\frac{{5r}}{4}$.Taking the atmospheric pressure to be equal to $10\,m$ height of water column, the depth of the lake would approximately be ....... $m$ (ignore the surface tension and the effect of temperature)

  • [JEE MAIN 2018]
  • A

    $10.5$

  • B

    $8.7$

  • C

    $11.2$

  • D

    $9.5$

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  • [AIIMS 2002]

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