A small object is placed at the center of a large evacuated P hollo...

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A small object is placed at the center of a large evacuated
P hollow spherical container. Assume that the container is

W) maintained at \( 0 \mathrm{~K} \). At time \( \mathrm{t}=0 \), the temperature of the object is \( 200 \mathrm{~K} \). The temperature of the object becomes \( 100 \mathrm{~K} \) at \( \mathrm{t}=\mathrm{t}_{1} \) and \( 50 \mathrm{~K} \) at \( \mathrm{t}=\mathrm{t}_{2} \). Assume the object and the container to be ideal black bodies. The heat capacity of the object does not depend on temperature. The ratio \( \left(t_{2} / t_{1}\right) \) is
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