JEE Advanced 2021 Physics question
A small object is placed at the center of a large evacuated hollow spherical container. Assume that the container is maintained at 0 K. At time , the temperature of the object is 200 K. The temperature of the object becomes 100 K at and 50 K at . Assume the object and the container to be ideal black bodies. The heat capacity of the object does not depend on temperature. The ratio is .
Answer: 9
Solution
The object loses heat only by radiation and receives none from the container at 0 K: . Integrating, , so
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