JEE Mains · Physics · STD 11 - 11. thermodynamics
Choose the correct statement for processes \(A\) & \(B\) shown in figure.
- A \(\mathrm{PV}^\gamma=\mathrm{k}\) for process \(\mathrm{B}\) and \(\mathrm{PV}=\mathrm{k}\) for process \(\mathrm{A}\).
- B \(\mathrm{PV}=\mathrm{k}\) for process \(\mathrm{B}\) and \(\mathrm{A}\).
- C \(\frac{P^{\gamma-1}}{T^\gamma}=k\) forprocess \(B\) and \(T=k\) for process \(A\)
- D \(\frac{T^\gamma}{P^{\gamma-1}}=k\) for process \(A\) and \(P V=k\) for process \(B\).
Answer & Solution
Correct Answer
(A) \(\mathrm{PV}^\gamma=\mathrm{k}\) for process \(\mathrm{B}\) and \(\mathrm{PV}=\mathrm{k}\) for process \(\mathrm{A}\).
Step-by-step Solution
Detailed explanation
Steeper curve \((B)\) is adiabatic Adiabatic \(\Rightarrow \mathrm{PV}^{\prime}=\) const. Or \(\mathrm{P}\left(\frac{\mathrm{T}}{\mathrm{P}}\right)^{\mathrm{r}}=\) const. \(\frac{\mathrm{T}^v}{\mathrm{P}^{v-1}}=\text { const. }\) Curve \((A)\) is isothermal \(\mathrm{T}=\)…
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