![]() ![]() ![]() The crest traveling from Source 1 (S 1) travels a distance equivalent to 5 full waves that is, point A is a distance of 5 wavelengths from Source 1 (S 1). The two wave crests are taking two different paths to the same location to constructively interfere to form the antinodal point. This specific antinode is formed as the result of the interference of a crest from Source 1 (S 1) meeting up with a crest from Source 2 (S 2). Point A is a point located on the first antinodal line. To begin, consider the pattern shown in the animation below. It will be assumed in the discussion that the wave sources are producing waves with identical frequencies (and therefore identical wavelengths). This investigation will involve the analysis of several antinodal and nodal locations on a typical two-point source interference pattern. In this part of Lesson 3, we will investigate the rationale behind the numbering system and develop some mathematical equations that relate the features of the pattern to the wavelength of the waves. A representative two-point source interference pattern with accompanying order numbers (m values) is shown below. As discussed in the previous section of Lesson 3, each line in the pattern is assigned a name (e.g., first antinodal line) and an order number (represented by the symbol m). If the wave sources have identical frequencies, then there will be an antinodal line in the exact center of the pattern and an alternating series of nodal and antinodal lines to the left and the right of the central antinodal line. The pattern is characterized by a collection of nodes and antinodes that lie along nearly straight lines referred to as antinodal lines and nodal lines. If the source of waves produces circular waves, then the circular wavefronts will meet within the medium to produce a pattern. Two-point source interference occurs when waves from one source meet up with waves from another source. ![]()
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