White light is spread out into its spectral components by a diffraction grating. If the grating has 1980 lines per centimeter, at what angle does red light of wavelength 640 nm appear in first-order spectrum? (Assume that the light is incident normally on the grating.)

A diffraction grating has a grating constant of 415 lines/mm. If composite light with wavelengths of 601 nm and 461 nm are incident upon the grating, what is there angular separation in the 1st order spectrum? Answer this with a positive number of degrees.

If a soap bubble is 120 nm thick, what wavelength is most strongly reflected at the center of the outer surface when illuminated normally by white light? Assume that the index refraction of air is na 1 (the actual value is 1.0003) and the index refraction of soap is ns = 1.35.

A physicist is calibrating a spectrometer that uses a diffraction grating to separate light in order of increasing wavelength  (?A,?B, and ?C). He observes three distinct first-order spectral lines at the following respective angles ?m (where m denotes order). ?1 = 12.8°, ?1 = 14.2°, ?1 = 15.0° (a)If the grating has 3,760 grooves per centimeter, what wavelength (in nm) describes each of these spectral lines? at ?1 = 12.8°    ?A=         nm ?1 = 14.2°       ?B=         nm ?1 = 15.0°        ?C=.        nm (b) At what angle (in degrees) would each of these lines be found in the second-order spectrum? for ?A      ?2=   ° for ?B      ?2=    ° for ?C     ?2=   °

A film of soapy water (n=1.33) on top of a plastic cutting board has a thickness of 278 nm. What is the wavelength of the most strongly reflected if it is illuminated perpendicular to its surface? Round your answer to 0 decimal places.