a. One measured quantity that we wish to report is the average value and uncertainty for the location of a particular bright maximum relative to the central order : ? ?y (the formula for ? is given on your data sheet). (i) Explain the reason why we have uncertainty in y. (ii) Write up a derivation of an appropriate expression for ?y in terms of y'max and y'min . Your derivation can contain both written explanations and algebraic expressions.

b. (i) List what sources of uncertainty go into calculating the wavelength of the laser (no explanation necessary here). (ii) Accurately report the uncertainties for these quantities. (iii) Explain which of these contributes the most to the final uncertainty on the laser wavelength?

c. Use the data from part C to calculate the wavelengths of the red and green lasers with associated uncertainty. Are these measured wavelengths consistent with the rated wavelengths on the lasers (given in your dataset)?

Hint: do = m - 1 is a valid approximation of d . sind = m - 1 when & is small. The mean of y can be expressed as max + )min Additionally, you will need to express the uncertainty of y, le., By, in terms of ym, and y'min. Ask your TA during Office Hour if you have questions, For red laser (1 = 650nm): max .... ....... . 40. ymin 24. 10mm, ymis = 20.60mm. Separation between slits: d = 0.25mm. Slit-screen distance: L = (1434.67+12.09)mm.