When an air bubble of radius ' \( r \) ' rises from the bottom to t...

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When an air bubble of radius ' \( r \) ' rises from the bottom to the surface of a lake, its radius becomes \( 5 r / 4 \) (the pressure of the
\( \mathrm{P} \) atmosphere is equal to the \( 10 \mathrm{~m} \) height of water column). If the temperature is constant and the surface tension is
W neglected, the depth of the lake is [EAMCET (Engg.) 2001]
(a) \( 3.53 \mathrm{~m} \)
(b) \( 6.53 \mathrm{~m} \)
(c) \( 9.53 \mathrm{~m} \)
(d) \( 12.53 \mathrm{~m} \)
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