Some ideal monoatomic gas $\text{A}$ in an enclosure has a pressure $\text{P}$ and the temperature $\text{T}$. Another ideal monoatomic gas $\text{B}$ enclosed in a container of the same volume has a pressure $2\text{P}$ and the temperature $\frac{\text{T}}{2}$. The ratio of the average kinetic energy per molecule of gas $\text{A}$ to gas $\text{B}$ is

• A

  $4\mathrm{ }:1$
• Correct answer
  B

  $2\mathrm{ }:1$
• C

  $1\mathrm{ }:2$
• D

  $1\mathrm{ }:4$

Hence, the correct answer is option: 'B'.