Monochromatic beams are passed on the diffraction grid with a lattice count of 100 lattice/cm of light undergoes dark diffraction to three measured within 5.5 mm of light center, gap distance to the screen 40 cm. What is the wavelength of light used?

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brodireo1 · Accepted Answer

From the question, it is given that-Lattice count of diffraction grid:   N  =  100   lattice/cmDistance between dark and 3rd maxima:   y  =  5.5   mm  =  5.5  ×      10          −      3         mDistance between grating lit and screen:   D  =  40   cm  =  0.40   mTo determine the wavelength of light used in diffraction.From the question we have:N = 100 lines/cm Distance between two grid:   d  =      1    N      =      1    100     cm  =      10          −      2        =      10          −      4      Wavelength of light:   λ  =                    10                  −          4                    ×      5.5      ×              10                  −          3                            3              (        5.5        ×                  10                      −            3                                    )          2                +        (        0.40                  )          2                        =  4.583  ×      10          −      7         m    =  458.3   nmThus the wavelength of light used for diffraction is 458.3 nm.

What is the wavelength of light used?

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