Two different adiabatic parts for the same gas intersect two isothermals at T_(1) "and" ^_(2) as shown in P-V diagram . Then the ratio of (V_(a))/(V_(b)) will be

Two different adiabatic parts for the same gas intersect two isotherma

1.	Two different adiabatic parts for the same gas intersect two isothermals at T_(1) "and" ^_(2) as shown in P-V diagram . Then the ratio of (V_(a))/(V_(b)) will be
Answer» `(V_(C ))/(V_(d))` `(V_(d))/(V_(c))` `gamma(V_(d))/(V_(c))` `(1)/(gamma)(V_(d))/(V_(c))` Solution :For adiabatic curve BC `T_(1)V_(B)^(gamma-1)=T_(2)V_(C)^(gamma-1)` Dividing (i) by (ii) `(V_(b))/(V_(a))^(gamma-1)=(V_(C))/(V_(d))^(gamma-1) rArr (V_(a))/(V_(b))=(V_(d))/(V_(C))`