2) Light from glowing hydrogen contains many discrete spectral lines, of which two are Ha (hydrogen-alpha) and HE (hydrogen-beta), with wavelengths of 656.3 nm and 486.1 nm, respectively. Find the first-order angular separation between these wavelengths in a spectrometer that uses a grating with 6000 slits per cm. (
2) Light from glowing hydrogen contains many discrete spectral lines, of which two are Ha (hydrogen-alpha) and HE (hydrogen-beta), with wavelengths of 656.3 nm and 486.1 nm, respectively. Find the first-order angular separation between these wavelengths in a spectrometer that uses a grating with 6000 slits per cm. (
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Transcribed Image Text:2) Light from glowing hydrogen contains many discrete spectral lines, of which two are Ha (hydrogen-alpha) and HB
(hydrogen-beta), with wavelengths of 656.3 nm and 486.1 nm, respectively. Find the first-order angular separation
between these wavelengths in a spectrometer that uses a grating with 6000 slits per cm.
Expert Solution
Concept and Principle:
- Diffraction grating creates a diffraction spectrum. It is formed by the diffracted waves interfering with each other.
- A diffraction spectrum consists of points of high and low intensity. Maximum intensity happens due to constructive interference and minimum due to destructive interference.
- The condition for constructive interference is given by,
Here d is the slit width, θ is the angular position, m is the order of the fringe, and λ is the wavelength.
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