Assume that for solar radiation, surface temperature of the sum is $6000 \mathrm{~K}$. If Wien's constant '…

Assume that for solar radiation, surface temperature of the sum is $6000 \mathrm{~K}$. If Wien's constant ' $\mathrm{b}$ ' is $2.897 \times 10^{-3} \mathrm{~m}-\mathrm{K}$, the value of maximum wavelength will be
  1. $4828 Å$
  2. $3648 Å$
  3. $6400 Å$
  4. $0.18 Å$

Solution

$\mathrm{T}=6000 \mathrm{~K}, \mathrm{~b}=2.897 \times 10^{-3} \mathrm{~m}-\mathrm{K}$ By Wien's law, $\lambda \mathrm{T}=\mathrm{b}$ $\begin{aligned} & \lambda=\frac{2.897 \times 10^{-3}}{6000} \\ & =4.828 \times 10^{-7} \mathrm{~m}=4828 Å \end{aligned}$ /

Asked in: MHT CET 2021 (24 Sep Shift 2)

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