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A certain diffraction grating has 4000.0 slits per 1.000 cm. What is the angular separation, in...

A certain diffraction grating has 4000.0 slits per 1.000 cm. What is the angular separation, in degrees, between the blue (435.8 nm) and the green (546.1 nm) mercury lines in

A) the first-order spectrum, and

B) the second-order spectrum?

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Answer #1

From diffraction grating formula

Where d is slit spacing which we can determine

A) in first order angular separation between blue and green light is given by,

Putting the values here we get angular separation=.044 rad =2.52°

B) in second order angular separation is given by

Putting values we get angular separaion = 5.04°

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