Explanation:

Blackbody Radiation:
- A blackbody is an idealized physical body that absorbs all incident electromagnetic radiation, regardless of frequency or angle of incidence. It then re-emits this energy according to Planck's law.

Wien's displacement law:
- According to Wien's displacement law, the wavelength of the peak of the blackbody radiation spectrum is inversely proportional to the temperature of the blackbody.
- The formula for Wien's displacement law is: λ_max = b / T, where λ_max is the peak wavelength, b is Wien's displacement constant (2.897 x 10^-3 m*K), and T is the temperature in Kelvin.

Calculating the corresponding wavelength:
- Given that the maximum wavelength at 2000K is λ_max = b / T = 2.897 x 10^-3 / 2000 = 1.45 x 10^-6 meters.
- To find the corresponding wavelength at 3000K, we use the same formula: λ_max = b / T = 2.897 x 10^-3 / 3000 = 9.66 x 10^-7 meters or 966 nm.

Therefore, the corresponding wavelength at 3000K will be 966 nm. This shows that as the temperature of a blackbody increases, the peak wavelength of its radiation spectrum decreases, shifting towards shorter wavelengths.

The question will be solve from wein's law