An astronomer is calibrating a spectrometer that uses a dittraction grating to separate light in order of increasing wavelength (A, er and 1). She observes three distinct iirst-order spectral lines at the following respective angles @m (where m denotes order). 8, = 12.70, 8, = 14.2°, 0, = 14.9a (a) If the grating has 3,680 qrooves per centimeter, what wavelength (in nm) describes each of these spectral lines? at 8, - 12.70 24 - nm at 8, = 14.20 nm al 8, = 14.9° (b) At what angle (in degrees) would each of these lines be found in the second-order spectrum? for 2, for å 82 for 2. 82 =
An astronomer is calibrating a spectrometer that uses a dittraction grating to separate light in order of increasing wavelength (A, er and 1). She observes three distinct iirst-order spectral lines at the following respective angles @m (where m denotes order). 8, = 12.70, 8, = 14.2°, 0, = 14.9a (a) If the grating has 3,680 qrooves per centimeter, what wavelength (in nm) describes each of these spectral lines? at 8, - 12.70 24 - nm at 8, = 14.20 nm al 8, = 14.9° (b) At what angle (in degrees) would each of these lines be found in the second-order spectrum? for 2, for å 82 for 2. 82 =
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Diffraction Grating
A diffraction grating is an optical instrument that is used to split a wave of light into many waves moving in different directions. It is used to observe the phenomena of diffraction.
A grating consists of a large number of slits in a very small region. If is the wavelength of light used and is the distance between the two slits, then the condition for order maxima is
is the angle where the maxima are observed with respect to the horizontal.
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