In Fig. 35-39, two isotropic point sources S 1 and S 2 emit light in phase at wavelength λ and at the same amplitude. The sources are separated by distance 2d = 6.00λ. They lie on an axis that is parallel to an x axis, which runs along a viewing screen at distance D = 20.0λ. The origin lies on the perpendicular bisector between the sources. The figure shows two rays reaching point P on the screen, at position x P . (a) At what value of x p do the rays have the minimum possible phase difference? (b) What multiple of λ gives that minimum phase difference? (c) At what value of x p do the rays have the maximum possible phase difference? What multiple of A gives (d) that maximum phase difference and (e) the phase difference when x P = 6.00λ? (f) When x P = 6.00λ, is the resulting intensity at point P maximum, minimum, intermediate but closer to maximum, or intermediate but closer to minimum? Figure 35-39 Problem 24
In Fig. 35-39, two isotropic point sources S 1 and S 2 emit light in phase at wavelength λ and at the same amplitude. The sources are separated by distance 2d = 6.00λ. They lie on an axis that is parallel to an x axis, which runs along a viewing screen at distance D = 20.0λ. The origin lies on the perpendicular bisector between the sources. The figure shows two rays reaching point P on the screen, at position x P . (a) At what value of x p do the rays have the minimum possible phase difference? (b) What multiple of λ gives that minimum phase difference? (c) At what value of x p do the rays have the maximum possible phase difference? What multiple of A gives (d) that maximum phase difference and (e) the phase difference when x P = 6.00λ? (f) When x P = 6.00λ, is the resulting intensity at point P maximum, minimum, intermediate but closer to maximum, or intermediate but closer to minimum? Figure 35-39 Problem 24
In Fig. 35-39, two isotropic point sources S1and S2emit light in phase at wavelength λ and at the same amplitude. The sources are separated by distance 2d = 6.00λ. They lie on an axis that is parallel to an x axis, which runs along a viewing screen at distance D = 20.0λ. The origin lies on the perpendicular bisector between the sources. The figure shows two rays reaching point P on the screen, at position xP. (a) At what value of xpdo the rays have the minimum possible phase difference? (b) What multiple of λ gives that minimum phase difference? (c) At what value of xpdo the rays have the maximum possible phase difference? What multiple of A gives (d) that maximum phase difference and (e) the phase difference when xP = 6.00λ? (f) When xP = 6.00λ, is the resulting intensity at point P maximum, minimum, intermediate but closer to maximum, or intermediate but closer to minimum?
In the figure, two isotropic point sources S1 and S2 emit light in phase at wavelength A and at the same amplitude. The sources are
separated by distance 2d = 3.0O A. They lie on an axis that is parallel to an x axis, which runs along a viewing screen at distance D = 20.0
A. The origin lies on the perpendicular bisector between the sources. The figure shows two rays reaching point Pon the screen, at
position Xp. (a) At what value of xp do the rays have the minimum possible phase difference? (b) What multiple of A gives that minimum
phase difference? (c) At what value of xp do the rays have the maximum possible phase difference (show "-1" if infinity)? What multiple
of A gives (d) that maximum phase difference and (e) the phase difference when xp = 3.00 A?
P
Screen
D
S1
(a) Number
i
Units
(b) Number
i
Units
(c) Number
i
Units
(d) Number
i
Units
(e) Number
i
Units
*67 O In the ray diagram of Fig. 33-63, where the angles are not
drawn to scale, the ray is incident at the critical angle on the inter-
face between materials 2 and 3. Angle o = 60.0°, and two of the in-
dexes of refraction are n = 1.70 and n2 = 1.60. Find (a) index of
refraction n3 and (b) angle 0. (c) If øi decreased, does light refract
into material 3?
Figure 33-63 Problem 67.
Light is traveling through ethyl alcohol and the incident upon a diamond at an angle of 70° with respect to the normal line. The indices of refraction of ethyl alcohol and diamond are n (ethyl alcohol)-1.36 and n_diamond-2.41 respectively.
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