A. H. Pfund's method for measuring the index of refraction of glass is illustrated in the figure below. One face of a slab of thickness t is painted white, and a small hole scraped clear at point P serves as a source of diverging rays when the slab is illuminated from below. Ray PBB' strikes the clear surface at the critical angle and is totally reflected, as are rays such as PCC'. Rays such as PAA' emerge from the clear surface. On the painted surface, there appears dark circle of diameter d surrounded by an illuminated region, or halo. Clear surface CBA C' B' Painted surface (a) Derive an equation for n in terms of the measured quantities d and t. n = (b) What is the diameter of the dark circle if n = 1.47 for a slab 0.560 cm thick? cm (c) If white light is used, dispersion caused the critical angle to depend on color. Is the inner edge of the white halo tinged with red light or with violet light? O red O violet

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter34: The Nature Of Light And The Principles Of Ray Optics
Section: Chapter Questions
Problem 49AP
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A. H. Pfund's method for measuring the index of refraction of glass is illustrated in the figure below. One face of a slab of thickness t is painted white, and a small hole scraped clear at
point P serves as a source of diverging rays when the slab is illuminated from below. Ray PBB' strikes the clear surface at the critical angle and is totally reflected, as are rays such as PCC'.
Rays such as PAA' emerge from the clear surface. On the painted surface, there appears a dark circle of diameter d surrounded by an illuminated region, or halo.
Clear
surface
C BA
C' B'
P
Painted
surface
(a) Derive an equation for n in terms of the measured quantities d and t.
n =
(b) What is the diameter of the dark circle if n = 1.47 for a slab 0.560 cm thick?
cm
(c) If white light is used, dispersion caused the critical angle to depend on color. Is the inner edge of the white halo tinged with red light or with violet light?
O red
O violet
Transcribed Image Text:A. H. Pfund's method for measuring the index of refraction of glass is illustrated in the figure below. One face of a slab of thickness t is painted white, and a small hole scraped clear at point P serves as a source of diverging rays when the slab is illuminated from below. Ray PBB' strikes the clear surface at the critical angle and is totally reflected, as are rays such as PCC'. Rays such as PAA' emerge from the clear surface. On the painted surface, there appears a dark circle of diameter d surrounded by an illuminated region, or halo. Clear surface C BA C' B' P Painted surface (a) Derive an equation for n in terms of the measured quantities d and t. n = (b) What is the diameter of the dark circle if n = 1.47 for a slab 0.560 cm thick? cm (c) If white light is used, dispersion caused the critical angle to depend on color. Is the inner edge of the white halo tinged with red light or with violet light? O red O violet
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