A small object is placed at the center of a large evacuated hollow spherical container

MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations

Problem

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

0\,\text{K}

. At time

t=0

, the temperature of the object is

200\,\text{K}

. The temperature of the object becomes

100\,\text{K}

t=t_1

and

50\,\text{K}

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

(t_2/t_1)

is _____.