(ii) The longest wavelength of light emitted by hydrogen in the Balmer series is 2, = 725 nm. In light from a distant galaxy, this wavelength is measured to be 2, = 1358 nm. Find the speed at which the distant galaxy is receding from the earth. %3D

Problem-1: An asteroid is hurtling toward earth at 150,000“. The temperature of the asteroid is about 100 K, meaning that its peak emission is 2 = 29 µm. The speed of light is c = 3E[8]. a) What is the wavelength of light that we receive from the asteroid? (Answer: 2.89855E[-05] m)

2) a) A monochromator is used as shown in the setup below to obtain a single wavelength 2 = 1.5 Å X-ray from X-rays emitted from an X-ray source. The monochromator is made of Germanium single crystal. The Miller index of the planes in this Germanium single crystal is (111) and the distance between the planes is d11 = 1.2 Å. What is the value of the monochromator angle (0)? (scottered X-ray) Saçılan X-ışını elincedent X-ray) s ) (scattering angle Sacılma Açısı Gelen X-Işını Geliş Açısı Eieliş Dogrultusu (andeofincidence) direction of arrival) Kristal Düzlemleri (crystal planes) b) Calculate the energy of the X-ray with wavelength 2 = 1.5 Å in eV.