The element sodium can emit light at two wavelengths, λ 1 = 589.10 nm and λ 2 = 589.59 nm. Light...

The element sodium can emit light at two wavelengths, 位₁ = 589.10 nm and 位₂ = 589.59 nm. Light from sodium is being used in a Michelson interferometer (Fig. 35-23). Through what distance must mirror M2 be moved if the shift in the fringe pattern for one wavelength is to be 1.00 fringe more than the shift in the fringe pattern for the other wavelength?

Fig. 35-23Michelson\"sinterferometer, showing the path of light originating at point P of an extended source S. Mirror M splits the light into two beams, which reflect from mirrors M₁ and M₂back to M and then to telescope T. In the telescope an observer sees a pattern of interference fringes.