A reversible heat engine converts one-fourth of the heat input into work. When the temperature of the sink is reduced by $52\, K$, its efficiency is doubled. The temperature in Kelvin of the source will be ...... .
JEE MAIN 2021, Medium
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$\eta=\frac{1}{4}=1-\frac{ T _{2}}{ T _{1}}$
$\frac{ T _{2}}{ T _{1}}=\frac{3}{4}$
$\frac{ T _{2}-52}{ T _{1}}=\frac{1}{2}$
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