S₂ e PS n = 3 A P P.S n = 2 m=1 n = 1 m=0 n=1 S ④ m=1 O n = 2 m=2 In this investigation, you will use a ruler to measure the distance that the Iwaves travel from each of the sources (S1 and S2) to specific points (P) on each of the lines on the pattern. In this case, we are using the point on the first nodal line, n = 1. Path lengths are then represented with the variable P1S1 and P1S2. The paths leading from each of the sources to the point on the first nodal line are drawn as solid lines. Review the following procedure in order to answer the questions that follow. A copy of this wave interference pattern has been prepared for you. Please use the following document, "Wave interference investigation", and use it to take your measurements from. Procedure: 1. Using a ruler, measure and record, (in millimetres) the wavelength of the wave by measuring from the centre of one crest to the centre of another crest. 2. Measure the path length from S1 to the point on the first nodal line. Record this value in the table provided in the document called "Investigation into wave interference". For consistent measurements begin and end your measurements from the cross-hairs on the point sources and points. 3. Measure the path length from S2 to the point on the first nodal line. Record this value in the same document provided. 4. Complete the first row of the table provided by subtracting the path lengths to determine the path difference, and then expressing the path difference in terms of wavelength by dividing the path difference by the wavelength. 5. Repeat steps 2-4 for the points on the second and third nodal lines. 6. Now repeat steps 2-4 for the points on anti-nodal lines 0, 1, 2, and 3. Analyze: Use your observations from the investigation to answer the following questions in the document "Investigation into wave interference". 1. What was the measurement for the wavelength of the wave source? 2. Complete the following observation tables, as directed in the previous instructions. Nodal line (n) (mm) PS1 PS2 PS1- PnS1- (mm) PnS2l(mm) PnS2/A Anti-nodal PmS1 PS2 PmS1- PmS1- line (m) (mm) (mm) PmS2(mm) PmS2/A 3. Complete the following sentences to summarize the patterns apparent from the observations made from the simulated water interference pattern. Nodal lines: a. For a point on the first nodal line (P1), the path difference between path length P1 to S1 and path length P1 to S2 will always be b. For a point on the second nodal line (P2), the path difference between path length P2 to S1 and path length P2 to S2 will always be c. For a point on the third nodal line (P3), the path difference between path length P3 to S1 and from P3 to S2 will always be Anti-nodal lines: d. For a point on the central anti-nodal line (Po, m = 0), the path difference between path length Po to S1 and path length Po to S2 will always be e. For a point on the first anti-nodal line (P1, m = 1), the path difference between path length P₁ to S1 and path length P1 to S2 will always be f. For a point on the second anti-nodal line (P2, m = 2), the path difference from P2 to S1 and from P2 to S2 will always be