Given that,
Wavelength of the human light is 560 nm
To find,
The temperature of a black body that would radiates most intensely at this wavelength.
Solution,
The relation between temperature and the wavelength is given by :
[tex]\lambda=\dfrac{c}{T}[/tex]
T is temperature
c is [tex]2.898\times 10^{-3}\ m-K[/tex]
So,
[tex]T=\dfrac{c}{\lambda}\\\\T=\dfrac{2.898\times 10^{-3}}{560\times 10^{-9}}\\\\T=5175\ K[/tex]
So, the temperature of a black body that would radiates most intensely at this wavelength is 5175 K.