Verified Solution • 2025–26 Session moderate

QNEET-2024-Ph-153: NEET 2024 Physics - Class 11 NEET-2024-Ph-153 Solution: According to the law of equipartition of energy the number of…

According to the law of equipartition of energy the number of vibrational modes of a polyatomic gas of constant γ=Cp/Cv\gamma = C_p/C_v is (CpCvC_p C_v are the specific heat capacities of the gas at constant pressure and constant volume respectively): 4+3γγ−1\frac{4+3\gamma}{\gamma-1} 3+4γγ−1\frac{3+4\gamma}{\gamma-1} 4−3γγ−1\frac{4-3\gamma}{\gamma-1} 3−4γγ−1\frac{3-4\gamma}{\gamma-1}

Multiple Choice Options

  • A 4+3γγ−1\frac{4+3 \gamma}{\gamma-1} _ _ 1 4 + 3 _ _
  • B 3+4γγ−1\frac{3+4 \gamma}{\gamma-1} _ _ 1 3 + 4 _ _
  • C 4−3γγ−1\frac{4-3 \gamma}{\gamma-1} _ _ 1 4 _ 3 _ _
  • D 3−4γγ−1\frac{3-4 \gamma}{\gamma-1} _ _ 1 3 _ 4 _ _

Step-by-Step Verified Solution

A polygamic gas has 3 translational, 3 rotational and f vibration modes U = 3 2 k B T + 3 2 k B T + f k B T U = ( 3 + f ) k B T C V = ( 3 + f ) R C p = ( 4 + f ) R C p C v = 4 + f 3 + f = _ 4 + f = 3 _ + f _ 4 _ 3 _ = f ( _ _ 1 ) _ f = 4 _ 3 _ _ _ 1

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