For an adiabatic expansion of an ideal gas, the fractional change in its pressure is equal to (where $\gamma$ is the ratio of specific heats):
A$-\gamma \frac{ dV }{ V }$
B$-\gamma \frac{ V }{ dV }$
C$-\frac{1}{\gamma} \frac{ dV }{ V }$
D$\frac{ d V }{ V }$
JEE MAIN 2021, Medium
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A$-\gamma \frac{ dV }{ V }$
a $PV ^{\gamma}=$ constant
Differentiating
$\frac{ dP }{ dV }=-\frac{\gamma P }{ V }$
$\frac{ dP }{ P }=-\frac{\gamma dV }{ V }$
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