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

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

Hint: Chromatic resolving power is:Nm=λΔλ.

  1. 587.783 < λ < 587.817
  2. 499.992 < λ < 500.008
  3. 586.623 < λ < 587.817
  4. 499.889 < λ < 500.110

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