A carnot engine is made to work between $200\,^oC$ and $0\,^oC$ first and then between $0\,^oC$ and $-200\,^oC$. The ratio of efficiencies $\left( {\frac{{{\eta _2}}}{{{\eta _1}}}} \right)$ of the engine in two cases is
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$n = 1 - \frac{{{T_2}}}{{{T_1}}}$
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