Multislit Interference and Diffraction Gratings Learning Goal: To understand mul
ID: 2199411 • Letter: M
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Multislit Interference and Diffraction Gratings Learning Goal: To understand multislit interference and how it leads to the design of diffraction gratings. 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 equations describing diffraction gratings. A typical diffraction grating consists of a thin, opaque object with a series of very closely spaced slits in it. (There are also reflection gratings, which use a mirror with nonreflecting lines etched into it to provide the same effects.) To see how a diffraction grating can separate different wavelengths within a spectrum, we will first consider a "grating" with only two slits. Recall that the angles theta for constructive interference from a pair of slits are given by the equation d sin( heta) = m lambda, where d is the separation between the slits, lambda is the wavelength of the light, and m is an integer Part A Consider a pair of slits separated by 1.00 micrometers. What is the angle theta_red to the interference maximum with m=1 for red light with a wavelength of 700 nanometers? Express your answer in degrees to three significant figures. theta_red = ^circ SubmitMy AnswersGive Up Part B Consider the same pair of slits separated by 1.00 micrometers. What is the angle theta_blue to the interference maximum with m=1 for blue light with a wavelength of 400 nanometers? Express your answer in degrees to three significant figures. theta_blue =Explanation / Answer
Theta (red) = 44.44 degrees Theta(blue)= 23.6 degrees
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