Let ${\eta }_1$  is the efficiency of an engine at T₁ = $447°C$  and T₂ = $147°C$  while ${\eta }_2$  is the efficiency at T₁ = $947°C$  and T₂ $47°C$ . The ratio $\frac{{\eta }_1}{{\eta }_2}$  will be

<p>As we know that</p><p><math><mrow><mi>η</mi><mo>=</mo><mn>1</mn><mo>−</mo><mfrac><mrow><msub><mrow><mi>T</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow><mrow><msub><mrow><mi>T</mi></mrow><mrow><mn>1</mn></mrow></msub></mrow></mfrac><mo>, </mo><mi>s</mi><mi>o</mi></mrow></math></p><p><math><mrow><mfrac><mrow><msub><mrow><mi>n</mi></mrow><mrow><mn>1</mn></mrow></msub></mrow><mrow><msub><mrow><mi>n</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow></mfrac><mo>=</mo><mfrac><mrow><mn>0</mn><mo>.</mo><mn>4</mn><mn>2</mn></mrow><mrow><mn>0</mn><mo>.</mo><mn>7</mn><mn>4</mn></mrow></mfrac><mo>≈</mo><mn>0</mn><mo>.</mo><mn>5</mn><mn>6</mn></mrow></math></p>

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