A square metal plate of side is maintained at a steady temperature of in a large room…

PHYSICS · Subjective · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

A square metal plate of side 0.20 m0.20\,\text{m} is maintained at a steady temperature of 800 K800\,\text{K} in a large room whose walls are at 300 K300\,\text{K}. (Take σ=5.67×10−8 W m−2 K−4\sigma = 5.67\times 10^{-8}\,\text{W m}^{-2}\,\text{K}^{-4}.) (i) Calculate the rate at which the plate would radiate energy if it behaved as a perfect blackbody. (ii) The actual surface of the plate has absorptivity α=0.60\alpha = 0.60. Assuming its emissivity equals its absorptivity, determine its actual rate of radiation. (iii) Monochromatic radiation of intensity 2.0×105 W m−22.0\times 10^{5}\,\text{W m}^{-2} is incident normally on the plate. What power is absorbed by the surface?

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