An incandescent light bulb works by heating a tungsten wire until it glows. Its temperature is heated to 2000 K. The length of the uncoiled wire is 1 m and its diameter is 0.03 mm. The emissivity of tungsten is 0.3. a) What is the wavelength of the peak of the spectral distribution? b) What is the total emitter power of the light bulb? c) What fraction of the emitted radiation is visible to humans (i.e., what is the efficiency of the light bulb)? d) What would be the total emitted power and peak wavelength if the temperature could be increased to 4000 K? e) Can the temperature be increased to 4000 K and if not why?