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Chapter 35: Q8Q (page 1073)

Figure 35-26 shows two rays of light, of wavelength 600nm, that reflectfrom glass surfaces separated by 150nm. The rays are initially in phase.

(a) What is the path length difference of the rays?

(b) When they have cleared the reflection region, are the rays exactly in phase, exactly out of phase, or in some intermediate state?

Short Answer

Expert verified

(a) The path length difference between the two waves is 300nm.

(b) When the rays have cleared the region, they are exactly out of phase.

Step by step solution

01

Given data: 

The wavelength of the two rays is 位=600nm
.

The thickness of the glass surface is d=300nm.

02

Relation between phase difference and path difference:

The phase difference between two waves of a wavelength 位 having the path difference x is蠒=2蟺位x

03

(a) Determining the path difference of the rays:

The upper wave travels a distance twice the thickness greater than the lower wave. Thus, the path difference isx=2脳150nm=300

Therefore, the path difference is 300nm.

04

Determining the phase difference of the rays:

From equation (1), the phase difference between the two waves is,蠒=2蟺600nm脳300nm=2蟺2=蟺

Hence, the phase difference is 蟺
.

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Most popular questions from this chapter

Figure 35-28 shows four situations in which light reflects perpendicularly from a thin film of thickness L sandwiched between much thicker materials. The indexes of refraction are given. In which situations does Eq. 35-36 correspond to the reflections yielding maxima (that is, a bright film).

Monochromatic green light, of wavelength 500 nm, illuminates two parallel narrow slits 7.70 mm apart. Calculate the angular deviation ( 胃in Fig. 35-10) of the third-order (m=3)bright fringe (a) in radians and (b) in degrees.

Figure 35-40 shows two isotropic point sources of light (S1and S2) that emit in phase at wavelength 400 nm and at the same amplitude. A detection point P is shown on an x-axis that extends through source S1. The phase difference 蠒between the light arriving at point P from the two sources is to be measured as P is moved along the x axis from x=0 out to x=+鈭�.The results out to xs=10脳10-7m are given in Fig. 35-41. On the way out to +鈭� , what is the greatest value of x at which the light arriving at from S1is exactly out of phase with the light arriving at P from S2?

A thin flake of mica (n = 1.58) is used to cover one slit of a double-slit interference arrangement. The central point on the viewing screen is now occupied by what had been the seventh bright side fringe (m = 7). If 位=550nm , what is the thickness of the mica?

In Fig. 35-44, a broad beam of light of wavelength 630 nm is incident at 90掳 on a thin, wedge-shaped film with index of refraction 1.50. Transmission gives 10 bright and 9 dark fringes along the film鈥檚 length. What is the left-to-right change in film thickness?
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