Using a diffraction grating with 5000 lines/cm, the fourth order of a wavelength appears at 9º. Determine the wavelength and then determine at what angle the second order will appear. λ = 0.0000078 0₂ =

Problem 1: You want to test a special watertight monochromatic light source in an un- derwater environment. If the light source shines its beam of electromagnetic radiation into your eyes when you and the light source are above the water, with both your eyes and the light source immersed in air, the beam appears to your eyes to have a deep violet color. The index of refraction of water is about 1.33 What color, if any, would your eyes perceive the beam to have when you and the light source are submerged in water – and why? (A) No color. The beam would become invisible under water because its wavelength in water is shorter than in air, corresponding to a wavelength of ultra-violet light. The beam's wavelength in the water determines its visibility to the eye under water, and ultra-violet light is not visible to the human eye. (B) Same color as in air, above the water, i.e., deep violet. Under water, the beam would have the same wavelength as in air. The beam's wavelength in the water…

2. White light is incident from air onto an equiangular triangle prism at a 40.0° angle with respect to the normal. The prism is composed of crystal that has an index of refraction of 1.40 for red light and 1.45 for violet light. Take nair = 1.00 for all wavelengths. a. What is the angular separation of the red and violet ends of the spectrum within the prism?

A diffraction grating with n = 3.5E-05 lines/nm is used to separate two colors of light. The angle between their first maxima is Δθ ≡ θ1 - θ2 = 0.38 degrees, and the first light has wavelength λ1 = 629 nm. a) Find θ1 using n and λ1 in radians.  b) Find θ2 in radians.