White light is incident normally on a diffraction grating with 300 lines/mm. The resulting diffraction is then focused via a lens of focal length f = +75 mm onto a sensor. The lens and sensor 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 sensor. The hydrogen atom can emit two spectral lines at wavelengths Hα = 656 nm and Hβ = 486 nm. Calculate the separation on the sensor between the first-order diffracted light of the latter two wavelengths.

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White light is incident normally on a diffraction grating with 300 lines/mm. The resulting diffraction is then focused via a lens of focal length f = +75 mm onto a sensor. The lens and sensor 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 sensor. The hydrogen atom can emit two spectral lines at wavelengths Hα = 656 nm and Hβ = 486 nm.
Calculate the separation on the sensor between the first-order diffracted light of the latter two wavelengths.

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