Transmission Of Heat Question 326

Question: At a specific temperature, the energy densities for a black body for three different wavelengths are 10, 19 and 7 units. For these wavelengths if the absorption coefficient of a body is respectively 0.8, 0.3 and 0.9 then the emissive powers of this body for these wavelengths are in the ratio

Options:

A) 10 : 19 : 7

B) 8 : 3 : 9

C) 8 : 5.7 : 6.3

D) 8 : 9.5 : 4.3

Show Answer

Answer:

Correct Answer: C

Solution:

[c] Emissive power $ =a\in $

$ a _{1}{\in _{1}}:a _{2}{\in _{2}}:a _{3}{\in _{3}} $

$ \Rightarrow $ $ 10\times \frac{8}{10}:\frac{3}{10}\times 19:7\times \frac{9}{10} $

$ \Rightarrow $ $ 8:5.7:6.3 $