In a P-V diagram (for an ideal gas), an isothermal curve will coincide withan adiabatic curve (through a point), when

A. C_p < C_v

B. C_p = C_v

C. C_p > C_v

D. C_p ≥ C_v

Answer: Option B

Solution(By Examveda Team)

The slope of isothermal process in $$p-v$$  plane is \[\frac{{dP}}{{dV}} = \frac{{ - P}}{V}\]
The slope of adiabatic process in $$P-V$$  plane is \[\frac{{dP}}{{dV}} = - \gamma \frac{P}{V}\]
\[ \Rightarrow \] Slopes become equal when \[\gamma = 1\]