Question

The temperature of a black body is 500 and its radiation is of wavelength 600 . If the number of oscillators with energy is 100 , 000, calculate the number of oscillators in the black body with energy 1 . (Accoding to Max. Planck, the number of oscillators with energy ℎ at a particular frequency is given by = = − ( ⁄ ) = − ( ⁄ ) (10 Marks) (b) Calculate the peak wavelength of a black body's radiation if the black body is at a temperature of 20 , 000 . (5 Marks)

Answer 1

Answer: An equation is missing in your question below is the missing equation

a) ≈ 8396

b) 150 nm/k

Explanation:

A) Determine the number of Oscillators in the black body

number of oscillators = 8395

attached below is the detailed solution

b) determine the peak wavelength of the black body

Black body temperature = 20,000 K

applying Wien's law / formula

λmax = b / T  ------ ( 1 )

T = 20,000 K

b = 3 * 10^6 nm

∴  λmax = 150 nm/k