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$$ SERPSE$1037\mathrm{.}4\mathrm{.}0$P$\mathrm{.}018.$MI$.$

The hydrogen spectrum includes a red line at $656$ nm and a blue$-$violet line at $434$ nm $.$ What are the angular separations between these two spectral lines for all visible orders obtained with a diffraction grating that has $4360$ grooves$/$cm$?($In this problem assume that the light is incident normally on the gratings.$)$

first order separation

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second order separation

third order separation

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