For a diatomic gas, if $\gamma_{1}=\left(\frac{C_{p}}{C_{v}}\right)$ for rigid molecules and $\gamma

Question

For a diatomic gas, if $\gamma_{1}=\left(\frac{C_{p}}{C_{v}}ight)$ for rigid molecules and $\gamma_{2}=\left(\frac{C_{p}}{C_{v}}ight)$ for another diatomic molecules, but also having vibrational modes. Then, which one of the following options is correct? ( $C_{p}$ and $C_{v}$ are specific heats of the gas at constant pressure and volume)\

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(c)