Question

if the maximum intensity of radiation for a black body is found at 1.45um what is the temperature of radiating body

Answer 1

answer : 2000K

explanation : maximum intensity of radiation for a black body is found at 1.45$\mu m$

e.g., $\lambda_{max}=1.45\mu m$

or, $\lambda_{max}=1.45\times10^{-6}m$

from Wien's displacement law,

$\boxed{\bf{\lambda_{max}T=2.9\times10^{-3}m.K}}$

where T is the temperature of radiation body.

so, $1.45\times10^{-6}T=2.9\times10^{-3}$

or, $T=\frac{2.9\times10^{-3}}{1.45\times10^{-6}}$

hence, T = 2000K

Answer 2

Black-body radiation has a characteristic, continuous frequency spectrum that depends only on the body's temperature, called the Planck spectrum or Planck's law.