Problem 1
What is the distance on screen C in Fig between adjacent maxima near the center of the interference pattern? The wavelength l of the light is 546 nm, the slit separation d is 0.12 mm, and the slit – screen separation D is 55 cm. Assume that u in Fig is small enough to permit use of the approximations sinθ ≈ tanθ ≈ θ, in which θ is expressed in radian measure.
Problem 2
A double-slit arrangement produces interference fringes for sodium light (λ = 589nm) that have an angular separation of 3.50×10−3 rad. For what wavelength would the angular separation be 10.0% greater?
Problem 3
Suppose a monochromatic coherent source of light passes through three parallel slits, each separated by a distance d from its neighbor, as shown in the Figure. The waves have the same amplitude E0 and angular frequency ω , but a constant phase difference ϕ = 2πdsinθ/λ . (a) Show that the intensity is
(1)
where I0 is the maximum intensity associated with the primary maxima. (b) What is the ratio of the intensities of the primary and secondary maxima?
