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The hydrogen spectrum has a red line at 656 nm, and a blue line at 434 nm. What is the first order angular separation between the two spectral lines obtained with a diffraction grating with 5000 rulings/cm? а. 7.7° b. 16.6° c. 6.6° d. 3.2° е. 19.2°

The hydrogen spectrum has a red line at 656 nm, and a blue line at 434 nm. What is the first order angular separation between the two spectral lines obtained with a diffraction grating with 5000 rulings/cm? а. 7.7° b. 16.6° c. 6.6° d. 3.2° е. 19.2°

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The hydrogen spectrum has a red line at 656 nm, and a blue line at 434 nm. What is the first order angular separation between the two spectral lines obtained with a diffraction grating with 5000 rulings/cm? а. 7.7° b. 16.6° c. 6.6° d. 3.2° е. 19.2°
Transcribed Image Text:The hydrogen spectrum has a red line at 656 nm, and a blue line at 434 nm. What is the first order angular separation between the two spectral lines obtained with a diffraction grating with 5000 rulings/cm? а. 7.7° b. 16.6° c. 6.6° d. 3.2° е. 19.2°
Expert Solution
Step 1

Using the formula for maxima of diffraction through the grating, we calculate the angular positions of the maxima of both the spectral lines. Then we obtain the angular separation between both the first-order maxima. 

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