In the following P-V diagram two adiabatics cut two isothermals at temperature `T_(1) and T_(2)` (fig). The value of `V_(a)/V_(d)` will be

Options

A. `V_b//V_c`
B. `V_c//V_b`
C. `V_d//V_a`
D. `V_b V_c`

Answer

A

Explanation

For adiabatic process `TV^(gamma-1)` = Constant
For bc curve, `T_1V_b^(gamma-1)=T_2V_c^(gamma-1) implies (T_2)/(T_1)=((V_b)/(V_c))^(gamma-1)`
For cd curve, `T_1V_a^(gamma-1)=T_2V_d^(gamma-1) implies (T_2)/(T_1)=((V_a)/(V_d))^(gamma-1)`