If the radiation emitted by a perfect radiator has maximum intensity at a wavelength of 2900 Å, the intensity of radiation emitted by it is (Stefan-Boltzmann's constant = \(5.67 \times 10^{-8}\) Wm\(^{-2}\)K\(^{-4}\) and Wein's constant = \(2.9 \times 10^{-3}\) mK)
Show Hint
This is a two-step problem common in thermal radiation.
1. Use Wien's Law (\(\lambda_{max} T = b\)) to find the temperature from the peak wavelength.
2. Use the Stefan-Boltzmann Law (\(I = \sigma T^4\)) to find the total intensity from the temperature.
Make sure all units are in the SI system before calculating.