Please answer all parts. I can't ask another to do only the later parts because this question is cumulative!

2. A He-Ne laser operate at a wavelength of 6328.165A in air. The refractive index of air is given by the Cauchy Formula (where is in A ): (n1)107=2726.43+12.2882108+0.355541016 (a) What is the speed of light in air for a He-Ne laser beam and what is the vacuum wavelength? (b) Convert the wavelength to wavenumbers (cm1) and calculate the magnitude of the wavevector in air. (c) What are the period and frequency of oscillation? (d) Calculate the energy and momentum of a photon with a wavelength in air of 632.8165nm. (e) Given a 50mW He-Ne laser, how many photons per second will be incident on your sample? (f) What will be the wavelength and frequency of the He-Ne laser line in water if the refractive index is 1.3333 ? (g) Consider a Raman measurement of ethylene obtained using excitation at air=199.765nm. The Raman line corresponding to the C=C stretch is observed at air=206.471nm and the Raman line corresponding to the symmetric CH2 stretch is observed at air=212.606nm. The vibrational frequencies are obtained from the Raman shifts: v~vib=v~Laserv~Raman. What are the frequencies, v~, of the two vibrations in cm1 ? How much error would be introduced if you neglected to consider the index of refraction correction