White light is incident normally on a diffraction grating with 300 lines/mm. The resulting diffracted light is then focused via a lens of focal length ƒ = +75 mm onto a detector. The lens and detector are aligned so that the first-order diffracted light at 550 nm is co-axial with the lens and focuses onto the centre of the detector. The hydrogen atom can emit two spectral lines (called Ha, Hẞ) at respective wavelengths 656 nm and 486 nm. Calculate the separation on the detector between the first-order diffracted light of these latter two wavelengths.

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White light is incident normally on a diffraction grating with 300 lines/mm. The resulting diffracted
light is then focused via a lens of focal length ƒ = +75 mm onto a detector. The lens and detector
are aligned so that the first-order diffracted light at 550 nm is co-axial with the lens and focuses
onto the centre of the detector. The hydrogen atom can emit two spectral lines (called Ha, Hẞ)
at respective wavelengths 656 nm and 486 nm.
Calculate the separation on the detector between the first-order diffracted light of these latter two
wavelengths.
Transcribed Image Text:White light is incident normally on a diffraction grating with 300 lines/mm. The resulting diffracted light is then focused via a lens of focal length ƒ = +75 mm onto a detector. The lens and detector are aligned so that the first-order diffracted light at 550 nm is co-axial with the lens and focuses onto the centre of the detector. The hydrogen atom can emit two spectral lines (called Ha, Hẞ) at respective wavelengths 656 nm and 486 nm. Calculate the separation on the detector between the first-order diffracted light of these latter two wavelengths.
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