# An ideal Carnot heat engine operates on a temperature difference of $210\;$ degrees. One third of the heat absorbed from the source is discharged to the sink. If the work done per cycle is $400\; J.$ Sink $(T_1)$ and Source $(T_2)$ temperatures respectively are

$(a)\;100\;K,215\;K\\(b)\; 200\;K,400\;K \\(c)\;200\;K,215\;K \\(d)\;105\;K,315\;K$

$T_1$ and $T_2$ are $105\;K,315\;K$
Hence d is the correct answer.