A diffraction grating has a chromatic resolving power of 20,000 in first order (m = 1)....

A diffraction grating has a chromatic resolving power of 20,000 in first order (m = 1). (i) What is the number of slits in the grating? (ii) This grating is used to analyze the spectrum of light coming from stars, in the third order (m = 3). The analysis involves resolving wavelengths that are close the spectral wavelength of some element (500.0 nm). What is the range of wavelengths you cannot distinguish from the said spectral wavelength?

Hint: Chromatic resolving power is: Nm=λΔλ.

587.783 < λ < 587.817
499.992 < λ < 500.008
586.623 < λ < 587.817
499.889 < λ < 500.110

Expert Solution

The answers are in the images. Page number is mentioned at right top. Note that ranges given in option A and C can be distinguished around their spectral line as calculated. You can check that by putting lambda = that spectral line in the chromatic resolving powers formula. But they can't be resolved around the given spectral line of 500nm.

genius_generous answered 2 years ago

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