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AP EAMCET · PHYSICS · Thermodynamics

The ratio of the slopes of isothermal and adiabatic curves is

  1. A 1
  2. B \(\gamma\)
  3. C \(\frac{1}{\gamma}\)
  4. D \(\frac{3}{2}\)
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Answer & Solution

Correct Answer

(C) \(\frac{1}{\gamma}\)

Step-by-step Solution

Detailed explanation

For an isothermal change, \(p V=K\) Differentiating both side, we get \(p \cdot d V+V d p=0 \Rightarrow V d p=-p d V\) \(\therefore\) Slope of an isothermal curve \(\left(\frac{d p}{d V}\right)_{\text {iso }}=-\frac{p}{V}\) For an adiabatic change, \(p V^\gamma=K^{\prime}\)…
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