Correct Learning Goal: To understand multislit interference and how it leads to the design of diffraction gratings. Part F Diffraction gratings are used in modern spectrometers to separate the wavelengths of visible light. The working of a diffraction grating may be understood through multislit interference, which can be understood as an extension of two-slit interference. In this problem, you will follow the progression from two-slit to many-slit interference to arrive at the important eauations describina diffraction Recall that phasor diagrams give the magnitude of the electric field, and that the intensity is related to the electric field squared. In going from two slits to three, the amount of energy in the total interference pattern increases by 50% (three slits worth of light instead of two), but the peak intensity of the interference maxima increases by 125% (from E alit ma = 4E, to Ehree-slit max Eo is the electric field due to one slit). What does this suggest about the intensity maxima for three slits? = 9E?, where Figure 1 of 1 O They are wider than the maxima for two slits, because they contain more energy. O They are narrower than the maxima for two slits because of conservation of energy. O They have a more blue color than the maxima for two slits, because they have more energy. O They are the same width and color as the maxima for two slits. Slit 1 Sht 2 Phasor Dagram Submit Request Answer New Slit Ni2 (a) N2

Correct Learning Goal: To understand multislit interference and how it leads to the design of diffraction gratings. Part F Diffraction gratings are used in modern spectrometers to separate the wavelengths of visible light. The working of a diffraction grating may be understood through multislit interference, which can be understood as an extension of two-slit interference. In this problem, you will follow the progression from two-slit to many-slit interference to arrive at the important eauations describina diffraction Recall that phasor diagrams give the magnitude of the electric field, and that the intensity is related to the electric field squared. In going from two slits to three, the amount of energy in the total interference pattern increases by 50% (three slits worth of light instead of two), but the peak intensity of the interference maxima increases by 125% (from E alit ma = 4E, to Ehree-slit max Eo is the electric field due to one slit). What does this suggest about the intensity maxima for three slits? = 9E?, where Figure 1 of 1 O They are wider than the maxima for two slits, because they contain more energy. O They are narrower than the maxima for two slits because of conservation of energy. O They have a more blue color than the maxima for two slits, because they have more energy. O They are the same width and color as the maxima for two slits. Slit 1 Sht 2 Phasor Dagram Submit Request Answer New Slit Ni2 (a) N2