Two identical containers A and B with frictionless pistons contain the same ideal gas at the same temperature and same volume \(\mathrm{V}\). The mass of the gas in \(\mathrm{A}\) is \(\mathrm{m}_{\mathrm{A}}\) and that in \(B\) is \(m_B\). The gas in each cylinder is now allowed to expand isothermally to the same final volume \(2 \mathrm{~V}\). The changes in the pressures of the gases in A and B are found to be \(2 \Delta \mathrm{P}\) and \(3 \Delta \mathrm{P}\) respectively. Then the relation between \(\mathrm{m}_{\mathrm{A}}\) and \(\mathrm{m}_{\mathrm{B}}\) is

1. A \(3 \mathrm{~m}_{\mathrm{A}}=4 \mathrm{~m}_{\mathrm{B}}\)
2. B \(3 \mathrm{~m}_{\mathrm{A}}=2 \mathrm{~m}_{\mathrm{B}}\)
3. C \(2 \mathrm{~m}_{\mathrm{A}}=3 \mathrm{~m}_{\mathrm{B}}\)
4. D \(4 \mathrm{~m}_{\mathrm{A}}=3 \mathrm{~m}_{\mathrm{B}}\)