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10) The hydrogen spectrum includes a red line at 656 nmand a blue-violet line at

ID: 1679045 • Letter: 1

Question

10) The hydrogen spectrum includes a red line at 656 nmand a blue-violet line at 434 nm. What are the angular separationsbetween these two spectral lines obtained with a diffractiongrating that has 4820 grooves/cm? (In thisproblem assume that the light is incident normally on thegratings.)

first order separation
°
second order separation
°
10) The hydrogen spectrum includes a red line at 656 nmand a blue-violet line at 434 nm. What are the angular separationsbetween these two spectral lines obtained with a diffractiongrating that has 4820 grooves/cm? (In thisproblem assume that the light is incident normally on thegratings.)

first order separation
°
second order separation
°

Explanation / Answer

Wavelengths  = 656 * 10 ^ -9 m

                     ' = 434 * 10 ^ -9 m

No.of grooves per cm = 4820

No.of grooves per m is N = 482000

Grating element d = 1/ N = 2.074*10^-6 m

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