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Chapter 35: Q88P (page 1079)

Light of wavelength 700.0 nm is sent along a route of length 2000 nm. The route is then filled with a medium having an index of refraction of 1.400. In degrees, by how much does the medium phase-shift the light? Give (a) the full shift and (b) the equivalent shift has a value less than 360°.

Short Answer

Expert verified

(a) The full shift is 411.4°.

(b) The equivalent shift is 51.4°.

Step by step solution

01

Calculation the full phase-shift of the light

(a)

The difference in wavelengths, with and without the n=1.4material, is found using the equation shown below:

ΔN=n-11λ=1.143

The result is equal to phase shift of 1.143360°=411.4°

Hence, the full shift is 411.4°.

02

Calculation the equivalent phase-shift of the light 

(b)

The equivalent shift is calculated as:

411.4°-360°=51.4°.

Hence, the equivalent shift is 51.4°.

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Most popular questions from this chapter

In Figure 35-50, two isotropic point sources S1and S2emit light in phase at wavelength λand at the same amplitude. The sources are separated by distance d=6.00λon an x axis. A viewing screen is at distance D=20.0λfrom S2and parallel to the y axis. The figure shows two rays reaching point P on the screen, at height yp. (a) At what value of do the rays have the minimum possible phase difference? (b) What multiple of λgives that minimum phase difference? (c) At what value of ypdo the rays have the maximum possible phase difference? What multiple of λgives (d) that maximum phase difference and (e) the phase difference when yp=d? (f) When yp=d, is the resulting intensity at point P maximum, minimum, intermediate but closer to maximum, or intermediate but closer to minimum?

In a double-slit experiment, the distance between slits is5.0mm and the slits are 1.0m from the screen. Two interference patterns can be seen on the screen: one due to light of wavelength 480nm, and the other due to light of wavelength 600nm. What is the separation on the screen between the third-order (m=3) bright fringes of the two interference patterns?

Figure 35-46a shows a lens with radius of curvature lying on a flat glass plate and illuminated from above by light with wavelength l. Figure 35-46b (a photograph taken from above the lens) shows that circular interference fringes (known as Newton’s rings) appear, associated with the variable thickness d of the air film between the lens and the plate. Find the radii r of the interference maxima assumingr/R≤1.

Two waves of light in air, of wavelength λ=600.0nm, are initially in phase. They then both travel through a layer of plastic as shown in Fig. 35-36, with L1=4.00μm, L2=3.50μm, n1=1.40, n2=1.60and. (a) What multiple of λgives their phase difference after they both have emerged from the layers? (b) If the waves later arrive at some common point with the same amplitude, is their interference fully constructive, fully destructive, intermediate but closer to fully constructive,or intermediate but closer to fully destructive?

In Fig. 35-45, two microscope slides touch at one end and are separated at the other end. When light of wavelength 500 nm shines vertically down on the slides, an overhead observer sees an interference pattern on the slides with the dark fringes separated by 1.2 mm. What is the angle between the slides?
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