Temperature of surface of a body is 1227°C. Find out
the wavelength that body can radiate max energy. b =
0.289 cm-K.
Answers
Given:
The temperature of the body(T) = 1227°C
b = 0.289cm.K
To Find:
The wavelength of that body can radiate max energy.
Solution:
The temperature of the human body is 37°C. The intensity of radiation emitted by the human body is maximum at a wavelength that can be found by using Wien's displacement law.
T = 1227°C
T = (1227 + 273) According to Wien's law the λm is constant where λm is wavelength corresponding to the max intensity of radiation and T is the temperature of the body in Kelvin.
So, T = 1227 + 273 = 1500K
T = 1227+1000+273 = 2500K
λm = 5000Α
Now, λm/λm' = T/T'
= 1500/2500×5000
= 3000Α
Therefore, the wavelength that the body can radiate max energy is 3000Α.
Given:
Temperature of body = 1227°C
b = 0.289 cmK
To find:
The wavelength that body can radiate max energy
Explanation:
Temperature of body in kelvin = 1227° + 273
=1500 k
b = 0.289 cm K
Wien's displacement law =
T ∝ 1/λ
T = b/λ
λ = b/T = 0.2898/1500
= 1.9 × 10⁻⁴ cm
length of wavelength = 1.9 × 10⁻⁴ cm
Answer = 1.9 × 10⁻⁴ cm