Answer:
[tex]\lambda=9.75\mu m[/tex]
Explanation:
Given that,
The temperature of the surface = 90°F = 305.372 K
We need to find the wavelength of maximum energy emission of your body. According to the Wien's law,
[tex]\lambda T=2.98\times 10^{-3}\\\\\lambda=\dfrac{2.98\times 10^{-3}}{T}[/tex]
Put all the values,
[tex]\lambda=\dfrac{2.98\times 10^{-3}}{305.372 }\\\\\lambda=9.75\mu m[/tex]
So, the required wavelength is equal to [tex]9.75\mu m[/tex].