All Problems

Interference of Light

Problem 5.75

A plane light wave with wavelength λ=0.70μm\lambda=0.70 \mu \mathrm{m} falls normally on the base of a biprism made of glass (n=1.520)(n=1.520) with refracting angle θ=\theta= =5.0.=5.0^{\circ} . Behind the biprism (Fig. 5.15) there is a plane-parallel plate, with the space between them filled up with benzene (n=1.500)\left(n^{\prime}=1.500\right). Find the width of a fringe on the screen ScS c placed behind this system.

Reveal Answer
Δxλ/2Θ(nn)=0.20 mm\Delta x \approx \lambda / 2 \Theta\left(n-n^{\prime}\right)=0.20 \mathrm{~mm}