# What as the apparent separation of the slits when the dial gauge read 75 based on the millimeter scale in the image? Original Answers Only

### Interference of light

• Explain why the separation of the two slits is 2h.
• If the two beams have paths that differ by exactly one wavelength λ in Young’s double slit, do they add constructively to make a bright interference region, or destructively to make a dark one?
• If the two beams have paths that differ by exactly one wavelength λ in Lloyd’s mirror, do they add constructively to make a bright interference region, or destructively to make a dark one?
• What as the apparent separation of the slits when the dial gauge read 75 based on the millimeter scale in the image?
• Observe and comment on the patterns you see in the interference fringes as the spacing is changed.
• Using our calibration of D0validated by the direct measurement with a scale in # 4, what is the slit separation h in each case for dial readings — 43, 45, 47, 49, 51, 53, and 55 that produced the fringe patterns in these images? Note that the uncertainty in the dial reading is ±1. What uncertainty will this introduce into a measurement of wavelength that depends on d?

7-Based on that image, what is the ratio of the wavelength or red light to the wavelength of blue light?

8-A. Describe how you made the measurements using the images on the screen and the scale below them. Estimate the errors in the fringe spacing for each case, and then pair up the separation of the slit and its mirror image d with the spacing of the dark fringes Δx and report them here.

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The wavelength of the light responsible for the patterns would be

lambda equals space left parenthesis capital delta x right parenthesis cross times left parenthesis d divided by ell right parenthesis λ = (Δx d / ℓ) as describe on the class website.

1. For each one, find a wavelength, then average them to give a mean value with a standard deviation for the set of data. Convert this average and its uncertainty to the commonly uses units of angstroms, microns, and meters.

1. In the image for the dial reading 45,  the white fringes are big and show obvious color. What is the ordering of the colors and why does that occur?

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