A black body has a wavelength \(\lambda_m\) corresponding to maximum energy at \(2000~\text{K}\). Its wavelength corresponding to maximum energy at \(3000~\text{K}\) will be:

Wien's displacement law expresses the relation between:
 

If λ_m denotes the wavelength at which the radioactive emission from a black body at a temperature T K is maximum, then:

1. λ_m is independent of T

2. λ_m ∝ T

3. λ_m ∝ T^–1

4. λ_m ∝ T^{– 4}