Chapter 35: Q29P (page 1076)
Two waves of the same frequency have amplitudes 1.00 and 2.00. They interfere at a point where their phase difference is 60.0°. What is the resultant amplitude?
The resultant amplitude of wave is 2.65 .
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Two waves of light in air, of wavelength , are initially in phase. They then both travel through a layer of plastic as shown in Fig. 35-36, with , , , and. (a) What multiple of gives 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 a double-slit experiment, the fourth-order maximum for a wavelength of 450 nm occurs at an angle of . (a) What range of wavelengths in the visible range (400 nm to 700 nm) are not present in the third-order maxima? To eliminate all visible light in the fourth-order maximum, (b) should the slit separation be increased or decreased and (c) what least change is needed?
In Fig. 35-37, two isotropic point sources S1 and S2 emit identical light waves in phase at wavelength. The sources lie at separation on an x axis, and a light detector is moved in a circle of large radius around the midpoint between them. It detects 30points of zero intensity, including two on the xaxis, one of them to the left of the sources and the other to the right of the sources. What is the value of ?
White light is sent downward onto a horizontal thin film that is sandwiched between two materials. The indexes of refraction are for the top material, for the thin film, and for the bottom material. The film thickness is . Of the visible wavelengths ( to ) that result in fully constructive interference at an observer above the film, which is the (a) longer and (b) shorter wavelength? The materials and film are then heated so that the film thickness increases. (c) Does the light resulting in fully constructive interference shift toward longer or shorter wavelengths?
In a double-slit arrangement the slits are separated by a distance equal to 100 times the wavelength of the light passing through the slits. (a)What is the angular separation in radians between the central maximum and an adjacent maximum? (b) What is the distance between these maxima on a screen 50 cm from the slits?
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