$1 \mathrm{mole}$ of an ideal monoatomic gas is confined in a cylinder fitted with a piston as shown in figure. Take mass of the piston is $0.5 Kg,$ spring constant,$K=1000\mathrm{N}/\mathrm{m}$ , atmospheric pressure $P_0={10}^5\mathrm{N}/{\mathrm{m}}^2\text{, }$CSA of piston $\mathrm{A}=50{\mathrm{cm}}^2$If energy of $50 J$ has been supplied to system then piston moves up by $5 cm$ [take $\left.\mathrm{g}=10\mathrm{m}/{\mathrm{s}}^2\right)$ Initially spring is in its natural position. Mark the correct statement(s).