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An air bubble of volume $1\,cm ^3$ rises from the bottom of a lake $40\,m$ deep to the surface at a temperature of $12^{\circ}\,C$. The atmospheric pressure is $1 \times 10^5 Pa$, the density of water is $1000\,kg / m ^3$ and $g =10\,m / s ^2$. There is no difference of the temperature of water at the depth of $40\,m$ and on the surface. The volume of air bubble when it reaches the surface will be $..........\,cm^{3}$
  • A$5\mathrm{~cm}^3$
  • B$2\mathrm{~cm}^3$
  • C$4\mathrm{~cm}^3$
  • D$3\mathrm{~cm}^3$
JEE MAIN 2023, Medium
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