# 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 $400 \;J$. The amount of heat released $(q_1)$ at the sink is

$(a)\;200\;J \\(b)\; - 200 \;J\\(c)\;100\;J \\(d)\;-100\;J$

The amount of heat released $(q_1)$ at the sink is -200 J
Hence b is the correct answer.