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BITSAT 2012
Exam
BITSAT
Year
2012
Subject
Physics
Chapter
Kinetic Theory of Gases

BITSAT 2012 · Physics · Kinetic Theory of Gases

For a gas if ratio of specific heats at constant pressure and...

For a gas if ratio of specific heats at constant pressure and volume is γ\gamma then value of degrees of freedom is

Options

  1. A3γ−12γ−1\frac{3 \gamma-1}{2 \gamma-1}
  2. B2γ−1\frac{2}{\gamma-1}
  3. C92(γ−1)\frac{9}{2}(\gamma-1)
  4. D252(γ−1)\frac{25}{2}(\gamma-1)

Correct answer

B. 2γ−1\frac{2}{\gamma-1}

Step-by-step solution

γ=1+2f,⇒γ−1=2f⇒f2=1γ−1⇒f=2γ−1\begin{aligned} & \gamma=1+\frac{2}{f}, \Rightarrow \gamma-1=\frac{2}{f} \\ & \Rightarrow \frac{f}{2}=\frac{1}{\gamma-1} \Rightarrow f=\frac{2}{\gamma-1} \end{aligned}
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