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11.Thermodynamics
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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 $B$.
(JEE MAIN-2024)
Solution
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
$\mathrm{T}=$ const.
$\mathrm{PV}=$ const.
Standard 11
Physics
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