Question

Understanding Two-Source Interference Learning Goal: To understand the assumptions made by the standard two-source interference equations and to be able to use them in a standard problem For solving two-source interference problems, there exists a standard set of equations that give the conditions for constructive and destructive interference. These equations are usually derived in the context of Young's double slit experiment, though they may actually be applied to a large number of other situations. The underlying assumptions upon which these equations are based are that two sources of coherent nearly monochromatic light are available, and that their interference pattern is observed at a distance very large in comparison to the separation of the sources. Monochromatic means that the wavelengths of the waves, which determine color for visible light are nearly identical. Coherent means that the waves are in phase when they leave the two sources In Young's experiment, these two sources corresponded to the two slits (hence such phenomena are often called two-slit interference). Under these assumptions, the conditions for constructive and destructive interference are as follows: for constructive interference d sin 8 = m (m=0, +1, +2, ...). and for destructive interference dsin 8 = (m + ) 1 (m= 0, +1, +2, ...) where d is the separation between the two sources, is the wavelength of the light, m is an arbitrary Integer, and is the angle between a line perpendicular to the line segment connecting the sources and the line from the midpoint of that segment to the Figure 1 of 1 d sin To screen Par Prav

Answer 1

This problem is similar slit experiment. to Young's double we For minimum signal, consider destructive interference have to for destructive interference, d sino = (mu 2. Here d sino li ald 2 f = 1000 kHz i sino X 2 d I U14 m/s 3x108 1000X103 HZ sino 300 2 x 400 R 30om O. 375 in g sin' (0.375) ☺ - 0-38 radians