The polytropic index (n) is given by
A
$$\frac{{\log \left( {{{\text{p}}_1}{{\text{p}}_2}} \right)}}{{\log \left( {{{\text{v}}_1}{{\text{v}}_2}} \right)}}$$
B
$$\frac{{\log \left( {\frac{{{{\text{p}}_2}}}{{{{\text{p}}_1}}}} \right)}}{{\log \left( {\frac{{{{\text{v}}_1}}}{{{{\text{v}}_2}}}} \right)}}$$
C
$$\frac{{\log \left( {\frac{{{{\text{v}}_1}}}{{{{\text{v}}_2}}}} \right)}}{{\log \left( {\frac{{{{\text{p}}_1}}}{{{{\text{p}}_2}}}} \right)}}$$
D
$$\log \left( {\frac{{{{\text{p}}_1}{{\text{v}}_1}}}{{{{\text{p}}_2}{{\text{v}}_2}}}} \right)$$
Correct Answer: $$\frac{{\log \left( {\frac{{{{\text{p}}_2}}}{{{{\text{p}}_1}}}} \right)}}{{\log \left( {\frac{{{{\text{v}}_1}}}{{{{\text{v}}_2}}}} \right)}}$$
