Explanation:
It is given that, the metal with the highest melting temperature is tungsten which melts at around 3400 K, T = 3400 K
We need to find the wavelength of the peak of the black body distribution for this temperature. It can be calculated using Wein's displacement law as :
[tex]\lambda\times T=k[/tex]
k is the constant, [tex]k=2.89\times 10^{-3}\ m.k[/tex]
[tex]\lambda=\dfrac{k}{T}[/tex]
[tex]\lambda=\dfrac{2.89\times 10^{-3}\ m.k}{3400\ k}[/tex]
[tex]\lambda=8.5\times 10^{-7}\ m[/tex]
or
[tex]\lambda=850\ nm[/tex]
The wavelength of infrared is from 700 nm to 1 mm. So, the lies in infrared region of the spectrum. Hence, this is the required solution.
