15. A self-luminous point object placed at a distance x, from a slab of transparent material of negative refractive index is viewed through the slab as shown in the figure. Thickness of the slab is d, refractive index of material of the slab with respect to the outside medium is u= - 1. For different moduli of values of x, and d the observer may find real or virtual image of the object. Which of the following statements is true? (a) If x, > d, image is virtual and for x, < d image is real.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter38: Refraction And Images Formed By Refraction
Section: Chapter Questions
Problem 126PQ
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ve
The
Questions 15 to 17 are based on the following write-up.
If Snell's law is found valid for two mediums, whose refractive indices
have opposite signs, the incident and the refracted rays must remain on
the same side of the normal at the point of incidence. In the figure is
shown a ray crossing the interface between two mediums I and II. The
ray makes angles 6 and 02 with normal in the medium-I and II. The
refractive indices of the mediums µ and u2 have opposite signs.
Normal
Medium-I
Medium-II
Snell's law is expressed for the above situation as usual by the equation
H sin 6, = 4, sin0,. Therefore, to satisfy this equation, the angles & and
6, must also have opposite signs.
%3D
15. A self-luminous point object placed at a distance x, from a slab of
transparent material of negative refractive index is viewed through the
slab as shown in the figure. Thickness of the slab is d, refractive index Object
of material of the slab with respect to the outside medium is u= - 1.
A
B
Slab
Observer
d
For different moduli of values of x, and d the observer may find real or
virtual image of the object. Which of the following statements is true?
(a) If x, > d, image is virtual and for x, <d image is real.
(b) If x, < d, image is virtual and for x, > d image is real.
(c) If x, < d, image is virtual and for x, > d image is real.
X, > d, image is virtual and for x, <d image is real.
n ot o distance from
Transcribed Image Text:ve The Questions 15 to 17 are based on the following write-up. If Snell's law is found valid for two mediums, whose refractive indices have opposite signs, the incident and the refracted rays must remain on the same side of the normal at the point of incidence. In the figure is shown a ray crossing the interface between two mediums I and II. The ray makes angles 6 and 02 with normal in the medium-I and II. The refractive indices of the mediums µ and u2 have opposite signs. Normal Medium-I Medium-II Snell's law is expressed for the above situation as usual by the equation H sin 6, = 4, sin0,. Therefore, to satisfy this equation, the angles & and 6, must also have opposite signs. %3D 15. A self-luminous point object placed at a distance x, from a slab of transparent material of negative refractive index is viewed through the slab as shown in the figure. Thickness of the slab is d, refractive index Object of material of the slab with respect to the outside medium is u= - 1. A B Slab Observer d For different moduli of values of x, and d the observer may find real or virtual image of the object. Which of the following statements is true? (a) If x, > d, image is virtual and for x, <d image is real. (b) If x, < d, image is virtual and for x, > d image is real. (c) If x, < d, image is virtual and for x, > d image is real. X, > d, image is virtual and for x, <d image is real. n ot o distance from
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