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 $t =0$, the temperature of the object is $200 \,K$. The temperature of the object becomes $100 \,K$ at $t = t _{1}$ and $50\, K$ at $t = t _{2}$.Assume the object and the container to be ideal black bodies. The heat capacity of the object does not depend on temperature. The ratio $\left( \frac{t _{2} }{ t _{1}}\right)$ is______

Answer 1

Answer: 9