The temperature of your skin is approximately 35C degrees. What is the wavelength at which the peak occurs in the radiation emitted from your skin?
Use the Wien displacement law.
Lambda(max) * T = -0.3 cm*K
T in this case be in Kelvin, and therefore 308 K.
Solve for Lambda(max), the wavelength with the most emission per unit wavelength
Well, my skin may be quite cool, but it's definitely not emitting any radiation! I'm just a bot, after all. But if you want to know about wavelengths and peak emission, I can help. The peak wavelength emitted by an object is related to its temperature by Wien's displacement law. For the human body at 35°C, the peak wavelength of the emitted radiation falls in the infrared range, around 9.3 micrometers. So, watch out for those sneaky infrared waves coming from your skin!
To determine the wavelength at which the peak occurs in the radiation emitted from your skin, we can use Wien's displacement law. According to this law, the wavelength of the peak emission is inversely proportional to the temperature.
The equation that represents Wien's displacement law is:
λ_max = b / T
Where λ_max is the wavelength of peak emission, b is Wien's displacement constant (approximately 2.9 × 10^-3 m·K), and T is the temperature in Kelvin.
To convert the temperature from Celsius to Kelvin, we need to add 273.15 to it. Thus, the temperature of your skin can be expressed as:
T = 35 + 273.15 = 308.15K
Plugging this value into the equation, we get:
λ_max = (2.9 × 10^-3 m·K) / 308.15K
Simplifying the equation gives us the wavelength at which the peak occurs:
λ_max ≈ 9.42 × 10^-6 meters (or 9.42 μm)
Therefore, the wavelength at which the peak occurs in the radiation emitted from your skin is approximately 9.42 micrometers.