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An air bubble of volume \(1 \mathrm{~cm}^{3}\) rises from the bottom of a lake \(40 \mathrm{~m}\) deep to the surface at…

Q1

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

[JEE Main 2023, 8 Apr (Shift 1)]

a

\(5 \mathrm{~cm}^{3}\)

b

\(2 \mathrm{~cm}^{3}\)

c

\(4 \mathrm{~cm}^{3}\)

d

\(3 \mathrm{~cm}^{3}\)

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