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10 Nov 2019


In the figure a light ray enters a slab made of an unknowntransparent material at point A and then undergoes total internalreflection at point B. What minimum value for the index ofrefraction of the material can be inferred from this information,if θ = 34.2°?

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Hubert Koch
Hubert KochLv2
18 Mar 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

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The index of refraction of theplastic cylindrical lens depends on wavelength. Choose an anglewhich gives a good color separation and measure the index ofrefraction for blue and red light.

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Background info:

ThePhysics

The Law ofReflection

The law of reflection states that for a plane mirror, the angle ofincidence is equal to the angle of reflection, and that the tworays lie in a plane.

r

normal

. A light ray perpendicular to the surface has an angle ofincidence 0°.

The Law of Refraction –Snell’s Law

A ray of light passing from one substance (index ofrefraction

n1)into another (index of refraction n

2) across a plane boundary will be refracted. The angle the raymakes in one medium will be related to the angle in the secondmedium by the equation below, and that all rays lie in aplane.

(2)

Total InternalReflection

A ray incident on a medium with lower index of refraction willbe

totally internally reflected if sin θ1> n2/n1.There will be no transmitted beam for this incident angle. Ameasurement of the critical angle for total internalreflection can be used to determine the index of refraction of the substance.If n

2 = 1 (air), then the critical angle is:

sin θc = 1/

n

1. (3)

Polarization byReflection – Brewster’s Angle

If the angle between the reflected and refracted rays is 90°,then

tan θ

B = n2/n

1. (4)

At this angle, only light with polarization out of the plane ofreflection and refraction will be reflected. The reflected lightwill be completely polarized.

Figure3.

Refractionof Light Rays

Figure2.

Incidentand Reflected Rays

(1)

Always measure the angles with respect to the surface

An aquarium filled with water has flat glass sides whose index ofrefraction is 1.52. A beam of light from outside the aquariumstrikes the glass at a ? = 42.0° angle to the perpendicular (Fig.23-49).

(a) What is the angle of this light ray when it enters theglass?
(b) What is the angle of this light ray when it then enters thewater?
(c) What would be the refracted angle if the ray entered the waterdirectly?

An aquarium filled with water has flat glass sides whose index ofrefraction is 1.52. A beam of light from outside the aquariumstrikes the glass at 43.5 degree angle to the perpendicular.

What is the angle of this light ray when it enters:
(a) the glass, and then (b) the water?
(c) What would be the refracted angle if the ray entered the waterdirectly?

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