A laboratory conducts an experiment with a solid copper sphere of radius

PHYSICS · Multi-part · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

0.20\,\text{m}

. Initially the sphere is in thermal equilibrium with the room at

T_{0}=300\,\text{K}

and radiates a steady power

P_{0}=75\,\text{W}

. The sphere is then placed in a furnace until its surface temperature reaches

T_{1}=600\,\text{K}

, while its radius remains unchanged. (a) Determine by what factor the total radiated power of the sphere changes when its temperature rises from

T_{0}

T_{1}

. (b) Calculate the new total radiated power

P_{1}

of the sphere at

600\,\text{K}

. (c) Explain how the mathematical dependence of radiated power on temperature leads to the result obtained in part (a).