A laboratory technician slowly heats a cavity radiator that behaves nearly like an ideal blackbody. At first the radiator is at a temperature T and the wavelength corresponding to maximum energy emission is λ1. After some time the temperature reaches 23T.
Answer the following in brief but clearly reasoned paragraphs.
(i) State the relation that connects the peak wavelength of emission of a perfect blackbody with its absolute temperature.
(ii) Explain, without substituting numerical values, how the peak wavelength will change when the temperature rises from T to 23T.
(iii) If the initial peak lies in the near-infra-red region at 960nm, identify qualitatively the part of the electromagnetic spectrum (infra-red, visible, or ultraviolet) in which the new peak will lie. Justify your answer.