Which of the following diffraction gratings should you use in orderto resolve th

Question

Which of the following diffraction gratings should you use in orderto resolve these two wavelengths in the third order? a grating with16,000 slits a grating with8000 slits a grating with4000 slits a grating with12,000 slits more than one ofthese would work Try Again; 4 attempts remaining a grating with16,000 slits a grating with8000 slits a grating with4000 slits a grating with12,000 slits more than one ofthese would work Try Again; 4 attempts remaining a grating with16,000 slits a grating with8000 slits a grating with4000 slits a grating with12,000 slits more than one ofthese would work Try Again; 4 attempts remaining a grating with16,000 slits a grating with8000 slits a grating with4000 slits a grating with12,000 slits more than one ofthese would work Try Again; 4 attempts remaining a grating with16,000 slits a grating with8000 slits a grating with4000 slits a grating with12,000 slits more than one ofthese would work Try Again; 4 attempts remaining a grating with16,000 slits a grating with8000 slits a grating with4000 slits a grating with12,000 slits more than one ofthese would work Try Again; 4 attempts remaining a grating with16,000 slits a grating with8000 slits a grating with4000 slits a grating with12,000 slits more than one ofthese would work Try Again; 4 attempts remaining a grating with16,000 slits a grating with8000 slits a grating with4000 slits a grating with12,000 slits more than one ofthese would work Try Again; 4 attempts remaining a grating with16,000 slits a grating with8000 slits a grating with4000 slits a grating with12,000 slits more than one ofthese would work Try Again; 4 attempts remaining a grating with16,000 slits a grating with8000 slits a grating with4000 slits a grating with12,000 slits more than one ofthese would work Try Again; 4 attempts remaining

I am assuming that the problem requires me to work backwardsfrom d*sin(theta) = m*(lambda). However, without a value fortheta, I am not very sure what to do. I was thinking solvefor d. Please help. a grating with16,000 slits a grating with8000 slits a grating with4000 slits a grating with12,000 slits more than one ofthese would work Try Again; 4 attempts remaining A certain substance emits light at wavelengths656.315 nm and656.332 nm}. Which of the following diffraction gratings should you use in orderto resolve these two wavelengths in the third order?

Explanation / Answer

Wavelengths  = 656.315 nm

                    '  = 656.332 nm

Wavelength difference = 0.017 nm

Average wavelength " = ( + ' ) /2

                                  = 656.3235 nm

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