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

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Constants | Periodic Table
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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
Eo is the electric field due to one slit). What does this suggest about the intensity maxima for three slits?
4E to E
9E, where
two-slit max
three-slit max
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.
OThey are the same width and color as the maxima for two slits.
Slit 1
Slit 2
Phasor Diagranm
Submit
Request Answer
New Slit
Slit 2
(a) N 2
Part G Complete previgus part(s)
Transcribed Image Text:Course Home ge.com/course.html?courseld%316501969&OpenVellumHMAC=3a1da24d859fdc8cea2e88a375ea89fe#10001 Constants | Periodic Table 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 Eo is the electric field due to one slit). What does this suggest about the intensity maxima for three slits? 4E to E 9E, where two-slit max three-slit max 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. OThey are the same width and color as the maxima for two slits. Slit 1 Slit 2 Phasor Diagranm Submit Request Answer New Slit Slit 2 (a) N 2 Part G Complete previgus part(s)
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