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Chapter 34, Problem 47P

(III) The yellow sodium D lines have wavelengths of 589.0 and 589.6 nm. When they are used to illuminate a Michelson interferometer, it is noted that the interference fringes disappear and reappear periodically as the mirror M1 is moved. Why does this happen? How far must the mirror move between one disappearance and the next?

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(i.) At what angle do you observe the 4th order maximum relative to the central maximum when 400 nm light is incident normally on two slits separated by 0.025 mm? (a) 1.83◦ (b) 2.75◦ (c) 3.67◦ (d) 4.13◦ (e) None of the above       (ii.) At what angle do you observe the 3rd order minimum? Set-up is the same as above and with a slit separation of 0.025 mm. (a) 2.29◦ (b) 3.45◦ (c) 5.58◦ (d) 1.79◦ (e) None of the above
*59. (III) One of the beams of an interferometer (Fig. 24–61) passes through a small evacuated glass container 1.155 cm deep. When a gas is allowed to slowly fill the container, a total of 158 dark fringes are counted to move past a reference line. The light used has a wavelength of 632.8 nm. Calculate the index of refraction of the gas at its final density, assuming that the interferometer is in vacuum. To mirror M1 Glass container Source- FIGURE 24-61 Ms 1.155 cm М ст Problem 59.
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