All Problems

Interference of Light

Problem 5.69

In Lloyd's mirror experiment (Fig. 5.13) a light wave emitted directly by the source SS (narrow slit) interferes with the wave reflected from a mirror M.M . As a result, an interference fringe pattern is formed on the screen ScS c. The source and the mirror are separated by a distance l=100 cm.l=100 \mathrm{~cm} . At a certain position of the source the fringe width on the screen was equal to Δx=0.25 mm,\Delta x=0.25 \mathrm{~mm}, and after the source was moved away from the mirror plane by Δh=0.60 mm,\Delta h=0.60 \mathrm{~mm}, the fringe width decreased η=1.5\eta=1.5 times. Find the wavelength of light.

Reveal Answer
λ=2ΔxΔh/l(η1)=0.6μm\lambda=2 \Delta x \Delta h / l(\eta-1)=0.6 \mu \mathrm{m}