A) \[37{}^\circ C\]
B) \[62{}^\circ C\]
C) \[99{}^\circ C\]
D) \[124{}^\circ C\]
Correct Answer: C
Solution :
[c] Since efficiency of engine is\[\eta =1-\frac{{{T}_{2}}}{{{T}_{1}}}\] According to problem, \[\frac{1}{6}=1-\frac{{{T}_{2}}}{{{T}_{1}}}\] ?(1) When the temperature of the sink is reduced by \[62{}^\circ C,\] its efficiency is doubled \[2\left( \frac{1}{6} \right)=1-\frac{{{T}_{2}}-62}{{{T}_{1}}}\] ?(2) Solving (1) and (2)\[{{T}_{2}}=372\,K\] \[{{T}_{1}}=99{}^\circ C=\] Temperature of source.
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