GATE Mechanical Engineering (ME) 2020 Shift 2 Solved Paper

The spectral distribution of radiation from a black body at $\mathit{T}1=3000\mathit{K}$ has a maximum at wavelength ${\mathit{\lambda }}_{\max }.$ The body cools down to a temperature ${\mathit{T}}_2.$ If the wavelength corresponding to the maximum of the spectral distribution at ${\mathit{T}}_2$ is $1.2$ times of the original wavelength ${\mathit{\lambda }}_{\max }$, then the temperature ${\mathit{T}}_2$ is $\mathit{K}$ (round off to the nearest integer).