Describe how you can use the data from the double-source interference of laser light experiment given in the data sheet to determine the wavelength of the illuminating laser. Utilize a combination of equations, written explanations, and at least one diagram to describe the process of calculating the wavelength. (You do not need to actually calculate the wavelength here. You will be asked to do so later.) Here are a few hints to get you started:

(i) Start by deriving an equation for the wavelength in terms of the position of the m-th intensity maximum of a double-slit pattern and other length values in the data sheet for the experiment.

(ii) Include a drawing of the observed interference pattern and clearly label the aspects used for the calculation (using the values provided on the datasheet).

(iii) Explain what value of m you will use in the equation.

(iv) Explain how the value calculated by as ? ( given by the equation on your data sheet) is a good estimate for one of the variables in your equation.

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.\f