A beam of light consisting of wavelengths from460.0 nm to 640.0 nm is directed perpendicularly onto a diffractiongrating with 160 lines/mm. (a) What is the lowest order that isoverlapped by another order? (b) What is the highest order forwhich the complete wavelength range of the beam is present? Inthat highest order, at what angle does the light at wavelength (c)460.0 nm and (d) 640.0 nm appear? (e) What is the greatest angleat which the light at wavelength 460.0 nm appears?

An astronomer is calibrating a spectrometer that uses a dittraction grating to separate light in order ot increasing wavelength (2,, 1e, and 1). She observes three distinct tirst-order spectral lines at the following respective angles 0, (where m denotes order). 8, = 12.7°, 8, = 14.2°, 0, = 14.9c (a) If the grating has 3,680 qrooves per centimeter, what wavelength (in nm) describes each of these spectral lines? at 8, - 12.70 nm at 6, = 14.2° nm al 8, = 14.9° d = (b) At what angle (in degrees) would each of these lines be found in the second-order spectrum? for 2, 0, - for å, 0, for 2. 8, =

Plz solve correctly

a lo) light is incident per pendicularly tilm suspend ed in light rs tilm that produces fully constructive in terferen ce of refe cted on thin air. The wavelength of 500nm. The shortest thick ness of the light is 0. 1 What is the pum. in dix of re fra ction of the thin film ?