Monochromatic blue light ($\lambda$ = 470 nm)is beamed into a Michelson interferometer.600 fringes move by the screen when the movable mirror is moved a distance d.How far was the movable mirror moved?

Question

Quizplus · Accepted Answer

The distance the movable mirror is moved, $d$, is related to the number of fringes, $N$, and the wavelength of the light, $\lambda$, by the formula $2d = N\lambda$. Given $N = 600$ and $\lambda = 470$ nm (or $470 \times 10^{-9}$ m), we can solve for $d$:$$2d = 600 \times 470 \times 10^{-9} m$$$$d = 300 \times 470 \times 10^{-9} m$$$$d = 141 \times 10^{-6} m$$$$d = 0.141 mm$$

Monochromatic Blue Light λ\lambdaλ = 470 Nm)is Beamed into a Michelson Interferometer

Monochromatic Blue Light $\lambda$ = 470 Nm)is Beamed into a Michelson Interferometer