1) Wavelengths, Frequency, and Energy (You shouldn’t need acalculator for any of the parts in this question. If you findyourself using an equation that needs a calculator, you MUST comeup with a different way to find the answer. )

(a) Our Sun, a 6,000K star, emits the peak of its spectrum at awavelength of about 500 nm. What would be the peak emission fromthe Sun if it were actually a 24,000 K star? (Show your work! Don’tuse a calculator!)

(b) What wavelength regime is this? (IR, visible, UV, X-ray,etc…) Do you think it would still be possible to have life (as weknow it) on Earth? Explain.

(c) Light that has a frequency of 600 megahertz (1 megahertz=106hz) has a wavelength of 50 centimeters. What is the wavelength of adifferent light with a frequency of 1200 megahertz? (Show yourwork! Don’t use a calculator!)

(d) A single IR photon with a wavelength of 2.5 microns (1micron = 10-6 m) has an energy of roughly 0.5 electron-volts (eV).What is the energy of an X-ray photon with a wavelength of 2.5nanometers (1 nanometer=10-9 m)? (Show your work! Don’t use acalculator!)