Assertion : For a gas atom,the number of degr | vedclass

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(B) monoatomic gas atom has $3$ degrees of freedom because it can only undergo translational motion along the $X-$,$Y-$,and $Z-$ axes. Rotational and

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If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.

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(B) monoatomic gas atom has $3$ degrees of freedom because it can only undergo translational motion along the $X-$,$Y-$,and $Z-$ axes. Rotational and vibrational degrees of freedom are not present for a single point-like atom.Therefore,the Assertion is correct.The expression $\frac{C_P}{C_V} = \gamma$ is a standard thermodynamic relation for the ratio of molar specific heats,which is also correct.However,the value of the degrees of freedom is determined by the structure of the molecule (monoatomic,diatomic,etc.),not by the ratio of specific heats $\gamma$. Thus,the Reason is not the correct explanation of the Assertion.

$Assertion :$ For a gas atom,the number of degrees of freedom is $3$.
$Reason :$ $\frac{C_P}{C_V} = \gamma $

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$Assertion :$ For a gas atom,the number of degrees of freedom is $3$.$Reason :$ $\frac{C_P}{C_V} = \gamma $