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Light passes from air into flint glass at a nonzero angle of incidence. (a) Is it possible for the component of its velocity perpendicular to the interface to remain constant? Explain your answer. (b) What If? Can the component of velocity parallel to the interface remain constant during refraction? Explain your answer.

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Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781337553278

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Chapter
Section
BuyFindarrow_forward

Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781337553278
Chapter 34, Problem 16P
Textbook Problem
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Light passes from air into flint glass at a nonzero angle of incidence. (a) Is it possible for the component of its velocity perpendicular to the interface to remain constant? Explain your answer. (b) What If? Can the component of velocity parallel to the interface remain constant during refraction? Explain your answer.

(a)

To determine
Whether it is possible for the component of its velocity perpendicular to the interface to remain constant.

Explanation of Solution

The diagram for the given condition is shown below.

Figure (1)

The index of refraction of air is 1 .

The Snell’s law of refraction is,

n1sinθ1=nsinθ2 (1)

Here,

n1 is the index of refraction of air.

n is the index of refraction of glass.

θ1 is angle of incidence.

θ2 is angle of refraction.

Substitute 1 for n1 in equation (1).

sinθ1=nsinθ2

For the normal component of the velocity to be constant,

v1cosθ1=v2cosθ2 (2)

The velocity of the medium is related to the velocity of the light by the given relation,

v=cn

Substitute cn for v2 and c for v1 in equation (2).

ccosθ1=cncosθ2 (3)

Multiply the equation (1) and equation (2)

(b)

To determine
Whether the component of velocity parallel to the interface remain constant during refraction or not.

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Chapter 34 Solutions

Physics for Scientists and Engineers
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