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Find out the wavelength at which a black body at temperature 700 \mathrm{~K} emits maximum energy
Physics | Previous year question
Find out the wavelength at which a black body at temperature 700 \mathrm{~K} emits maximum energy

Wien’s constant =2 \cdot 9 \times 10^{-3} \mathrm{~m}-\mathrm{K}
Temperature at which maximum energy is radiated \mathrm{T}=427^{\circ} \mathrm{C} \therefore \mathrm{T}=427+273=700 \mathrm{~K}
From Wein’s displacement law, wavelength \lambda_{\max }=\frac{b}{T}

    \[\begin{array}{l} \therefore \lambda_{\max }=\frac{\left(2.898 \times 10^{-3}\right)}{700} \\ \Longrightarrow \lambda_{\max }=4.14 \times 10^{-6} \mathrm{~m} \end{array}\]

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