Some of the questions im stuck on...
- If the slit spacing was not given how could you determine the wavelength? What measurements and or calculation would be required?
- Which method is likely to give a more accurate value? Which method is likely to give a more precise value?
- If a source of monochromatic blue light were used in place of the sodium lamp, how would this change the results? Include in your answer how it would change the accuracy and precision of the results?
1. Have you seen this formula path diff=nw (where w is wavelength) before? It should be in your textbook. n is 0,1,2,3...etc. where 0 is the central fringe (brightest one), 1 is the next brightest one and so on. Basically you choose one bright fringe, and measure the distances between that fringe and each of the two slits. One distance would be slightly longer obviously. The difference in those two distances is the path difference. Sub that into the pd=nw formula, and using the correct n it will leave you with the only variable left to be equated - the wavelength.
2. Not really sure but I think the above method is more accurate because you only have to measure two distances. Whereas if you were finding the values for the x=wL/d formula, you have to measure x,l and d to get w (three things) so more room for human and instrumental error.
3. All I know is that blue light has a smaller wavelength than sodium/yellow light so obviously that changes your results in that, you will get a smaller wavelength value. As for the accuracy bit (this is a bit of a speculation), because blue wavelength is smaller, fringe spacing would decrease which would lead me to think that the measurements would start to lose accuracy. Because as you may know, accuracy is harder to attain in instruments when the values start getting smaller and smaller. You need to buy more and more expensive equiptment to measure smaller quantities with accuracy.