When an air bubble of radius $'r'$ rises from the bottom to the surface of a lake. Its radius becomes $\frac{5r}{4}$ (the pressure of the atmosphere is equal to the 10 m height to water column). If the temperature is contant and the surface tension is neglected the depth of the lake is :

Question

( A ) 5.53 m
( B ) 9.53 m
( C ) 12.53 m
( D ) 6.53 m