During an experiment, an ideal gas is found to obey an additional law $V{P}^2\mathrm{ }=\mathrm{ }\mathrm{C}\mathrm{o}\mathrm{n}\mathrm{s}\mathrm{t}\mathrm{a}\mathrm{n}\mathrm{t}$ . The gas is initially at temperature $T$ and volume $V$, when it expands to volume $2V$, the resulting temperature is

• A

  $\frac{T}{2}$
• B

  $2T$
• Correct answer
  C

  $\sqrt{2}\mathrm{ }T$
• D

  $\frac{T}{\sqrt{2}}$

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