A closed vessel contains \(10\mathrm{g}\) of an ideal gas X at \(300\mathrm{K}\), which exerts \(2\mathrm{atm}\) pressur…

A closed vessel contains \(10\mathrm{g}\) of an ideal gas X at \(300\mathrm{K}\), which exerts \(2\mathrm{atm}\) pressure. At the same temperature, \(80\mathrm{g}\) of another ideal gas Y is added to it and the pressure becomes \(6\mathrm{atm}\). The ratio of root mean square velocities of X and Y at \(300\mathrm{K}\) is

[JEE Advanced 2024, Paper-1]