For polyatomic molecules having 'f' vibrational modes, the ratio of two specific heat, `(C_(P))/(C_(V))` is

Options

A. `(1+f)/(2+f)`
B. `(2+f)/(3+f)`
C. `(4+f)/(3+f)`
D. `(5+f)/(4+f)`

Answer

C

Explanation

`(4+f)/(3+f)`
By the law of equipartition of energy , for one moles of polyatomic gas
`C_(P) = (4+f)R` and `C_(V) = (3+f) R`
`:. (C_(P))/(C_(V)) = ((4+f)R)/((3+f)R) = ((4+f))/((3+f))`