A laser with wavelength d/8 is shining light on a doubleslit with slit separatio

Question

A laser with wavelength d/8 is shining light on a doubleslit with slit separation 0.400 mm. This results in aninterference pattern on a screen a distance L away from theslits. We wish to shine a second laser, with a differentwavelength, through the same slits. . What is the wavelength 2 of the secondlaser that would place its second maximum at the same location asthe fourth minimum of the first laser,if d = 0.400 mm? express answer in mm A laser with wavelength d/8 is shining light on a doubleslit with slit separation 0.400 mm. This results in aninterference pattern on a screen a distance L away from theslits. We wish to shine a second laser, with a differentwavelength, through the same slits. . What is the wavelength 2 of the secondlaser that would place its second maximum at the same location asthe fourth minimum of the first laser,if d = 0.400 mm? express answer in mm

Explanation / Answer

Wavelength = d / 8 slit separation d = 0.4 mm = 4 * 10^ -4 m Distance of the screen from the slit = D Condition for fourth minimum is d sin = 3.5 wavelength of the second light 2 =? condition for 2 nd maximum , d sin = 2 ' 3.5 = 2 ' from this ' = 1.75                   =0.21875 d                  = 0.21875 * 0.4 mm                  =0.0875 mm

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