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# How far must a mirror be moved so that one wavelength has produced one more new maxima then the other wavelength?

1. Light emitted by Element X passes through a diffraction grating having 1200 lines/mm. The diffraction pattern is observed on a screen 75.0 cm behind the grating. Bright fringes are seen on the screen at distances of 56.2 cm, 65.9 cm and 93.5 cm from the central maximum. No other fringes are seen.

a) What is the value of "m" for each of these diffracted wavelengths? Explain why only one value is possible?

b)What are the wavelengths of light emitted by Element X?

3. A Michelson Interferometer uses light from a sodium lamp. Sodium atom emits light hour wavelengths 589.0 nm and 589.6 nm. Interferometer is initially set up with both arms of equal length (L_1 = L_2) producing a bright spot at the center of interference pattern. How far must mirror M_2 be moved so that one wavelength has produced one more new maxima then the other wavelength.

#### Solution Preview

In Michelson's interferometer light reflected from the two mirrors again meets at semi silvered plate M and interferes and the result is seen with the telescope. If both arms are of the same length the path difference is equal and the constructive interference takes place at we see a bright spot at the ...

#### Solution Summary

The solutions are for two problems, the first is about the interference of composite beam light through Michelson's interferometer and the second is about the defraction of light through defraction grating. This solution is formatted in two separate attached Word document.

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