Two of the lines of the atomic hydrogen spectrum have wavelengths of 656?nm and 410?nm. If...
Two of the lines of the atomic hydrogen spectrum have wavelengths of 656?nm and 410?nm. If these fall at normal incidence on a grating with 8200 slits/cm,what will be the angular separation of the two wavelengths in the first-order spectrum?
Homework Answers
apply d sin theta = mL
here d = 1/8200 = 1.219 um
for wave length 1, L1 = 656 nm
sin theta = 1* 656nm/1.219 um = 0.538
theta = 32.55 deg
for L2, sin theta = 1* 410nm/1.219 um
sin theta = 0.336
theta = 19.633 deg
angular separation is 32.55-19.633 = 12.91 deg
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