Easy MCQ +4 / -1 PYQ · JEE Mains 2022

The ratio of specific heats $\left( {{{{C_P}} \over {{C_V}}}} \right)$ in terms of degree of freedom (f) is given by :

  1. A $\left( {1 + {f \over 3}} \right)$
  2. B $\left( {1 + {2 \over f}} \right)$ Correct answer
  3. C $\left( {1 + {f \over 2}} \right)$
  4. D $\left( {1 + {1 \over f}} \right)$

Solution

<p>${{{C_P}} \over {{C_V}}} = \gamma$</p> <p>${C_V} = \left( {{f \over 2}} \right)R$ and ${C_P} - {C_V} = R$</p> <p>$\Rightarrow {{{C_P}} \over C} = {{1 + f/2} \over {f/2}} = 1 + {2 \over f}$</p>

About this question

Subject: Physics · Chapter: Thermodynamics · Topic: Zeroth and First Law

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