GO ILW Two waves of light in air, of wavelength λ = 600.0 nm, are initially in phase. They then both travel through a layer of plastic as shown in Fig. 35-36, with L 1 = 4.00 μm , L 2 — 3.50 μm, n 1 = 1.40, and n 2 = 1.60. (a) What multiple of λ 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? Figure 35-36 Problem 13.
GO ILW Two waves of light in air, of wavelength λ = 600.0 nm, are initially in phase. They then both travel through a layer of plastic as shown in Fig. 35-36, with L 1 = 4.00 μm , L 2 — 3.50 μm, n 1 = 1.40, and n 2 = 1.60. (a) What multiple of λ 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? Figure 35-36 Problem 13.
GO ILW Two waves of light in air, of wavelength λ = 600.0 nm, are initially in phase. They then both travel through a layer of plastic as shown in Fig. 35-36, with L1 = 4.00 μm, L2 — 3.50 μm, n1= 1.40, and n2= 1.60. (a) What multiple of λ 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?
(c) The electric fields from two e/m waves are described by E1 = 10.0 cos(kr – wt) N/C and
E2 = 15.0 cos(kr – wt + 60°) N/C. What is the phase of the resultant electric field (in degrees)?
(d) Electrons moving at a speed of 30 m/s pass through a single slit of diameter 8.5 x 10-5 m. A
diffraction pattern forms, due to the wave nature of the electrons. At what angle (in degrees) is the
first-order minimum of this pattern located?
(e) A neutron (with mass m, = 939.566 MeV/c²) is confined inside a nucleus of the most common isotop
of iron, Fe. Assume the nucleus is spherical, and that the uncertainty in the position of the neutron is
the diameter, not the radius, of the nucleus. What is the minimum uncertainty in the velocity of the
neutron, in m/s?
79 SSM (a) Prove that a ray of light incident on the surface of a
sheet of plate glass of thickness t emerges from the opposite face
parallel to its initial direction but displaced sideways, as in Fig. 33-69.
(b) Show that, for small angles of incidence 0, this displacement is
given by
п - 1
x = te-
п
where n is the index of refraction of the glass and e is measured in
radians.
Figure 33-69 Problem 79.
-55 O SSM In Fig. 33-55, a 2.00-
m-long vertical pole extends from
the bottom of a swimming pool to a
point 50.0 cm above the water.
Sunlight is incident at angle e=
Blocked
sunrays
55.0°. What is the length of the
shadow of the pole on the level bot-
tom of the pool?
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