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Chapter 35: Q7P (page 1074)
The speed of yellow Light (from a sodium lamp) in a certain liquid is measured to be . What is the index of refraction of this liquid for the Light?
The index of refraction of the liquid is
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Transmission through thin layers. In Fig. 35-43, light is incident perpendicularly on a thin layer of material 2 that lies between (thicker) materials 1 and 3. (The rays are tilted only for clarity.) Part of the light ends up in material 3 as ray (the light does not reflect inside material 2) and (the light reflects twice inside material 2). The waves of and interfere, and here we consider the type of interference to be either maximum (max) or minimum (min). For this situation, each problem in Table 35-3 refers to the indexes of refraction and , the type of interference, the thin-layer thickness in nanometers, and the wavelength in nanometers of the light as measured in air. Where is missing, give the wavelength that is in the visible range. Where is missing, give the second least thickness or the third least thickness as indicated.
In Fig. 35-39, two isotropic point sources S1 and S2 emit light in phase at wavelength and at the same amplitude. The sources are separated by distance . They lie on an axis that is parallel to an x axis, which runs along a viewing screen at distance . The origin lies on the perpendicular bisector between the sources. The figure shows two rays reaching point P on the screen, at position. (a) At what value of do the rays have the minimum possible phase difference? (b) What multiple of gives that minimum phase difference? (c) At what value ofdo the rays have the maximum possible phase difference? What multiple of gives (d) that maximum phase difference and (e) the phase difference when ? (f) When , is the resulting intensity at point P maximum, minimum, intermediate but closer to maximum, or intermediate but closer to minimum?
In Fig. 35-31, a light wave along ray reflects once from a mirror and a light wave along ray reflects twice from that same mirror and once from a tiny mirror at distance from the bigger mirror. (Neglect the slight tilt of the rays.) The waves have wavelength and are initially exactly out of phase. What are the (a) smallest (b) second smallest, and (c) third smallest values of that result in the final waves being exactly in phase?
A double-slit arrangement produces interference fringes for sodium lightthat are apart. What is the angular separation if the arrangement is immersed in water ?
Transmission through thin layers. In Fig. 35-43, light is incident perpendicularly on a thin layer of material 2 that lies between (thicker) materials 1 and 3. (The rays are tilted only for clarity.) Part of the light ends up in material 3 as ray (the light does not reflect inside material 2) and (the light reflects twice inside material 2). The waves of and interfere,and here we consider the type of interference to be either maximum (max) or minimum (min). For this situation, each problem in Table 35-3 refers to the indexes of refraction and the type of interference, the thin-layer thickness in nanometers, and the wavelength in nanometers of the light as measured in air. Where is missing, give the wavelength that is in the visible range. Where is missing, give the second least thickness or the third least thickness as indicated.
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