Huygens’s hypothesis of every point on a wavefront.

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Answer 1

Question

Chapter 29, Problem 1RCQ

To determine

Huygens’s hypothesis of every point on a wavefront.

Expert Solution & Answer

Answer to Problem 1RCQ

Solution:

Every point on a wavefront behaves as a secondary wavelet according to Huygens’s hypothesis.

Explanation of Solution

Huygens gave a principle through which we can imagine or geometrically construct the position of a wavefront at any instant. His hypothesis is

" Every point of wavefront behaves like a secondary wavelet which moves with the velocity of light in all directions ".
The meaning of Secondary wavelet is that every point on the wavefront behaves as a fresh source of the new disturbance. Let AB be a primary wavefront, then according to Huygens’s principle, every point on this wavefront behaves like a secondary wavelet. To determine the position of the wavefront after some time t, we take a help from geometry. The distance traveled by light in t seconds = ct. Then we make spheres of radius ct by taking every point on a primary wavefront as centers of those spheres. All those surfaces of spheres represent the position of secondary wavelets at time t. Drawing a surface A'B' touching those surfaces of spheres. It will be the position wavefront after time t.

Conceptual Physics (12th Edition), Chapter 29, Problem 1RCQ

Huygens Hypothesis

Conclusion:

We saw that Huygens imagined all point on (primary) wavefront as a secondary wavelet which also led us to know that wavefront travel parallels to itself.

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Answer 2

Question

Chapter 29, Problem 1RCQ

To determine

Huygens’s hypothesis of every point on a wavefront.

Expert Solution & Answer

Answer to Problem 1RCQ

Solution:

Every point on a wavefront behaves as a secondary wavelet according to Huygens’s hypothesis.

Explanation of Solution

Huygens gave a principle through which we can imagine or geometrically construct the position of a wavefront at any instant. His hypothesis is

" Every point of wavefront behaves like a secondary wavelet which moves with the velocity of light in all directions ".
The meaning of Secondary wavelet is that every point on the wavefront behaves as a fresh source of the new disturbance. Let AB be a primary wavefront, then according to Huygens’s principle, every point on this wavefront behaves like a secondary wavelet. To determine the position of the wavefront after some time t, we take a help from geometry. The distance traveled by light in t seconds = ct. Then we make spheres of radius ct by taking every point on a primary wavefront as centers of those spheres. All those surfaces of spheres represent the position of secondary wavelets at time t. Drawing a surface A'B' touching those surfaces of spheres. It will be the position wavefront after time t.

Conceptual Physics (12th Edition), Chapter 29, Problem 1RCQ

Huygens Hypothesis

Conclusion:

We saw that Huygens imagined all point on (primary) wavefront as a secondary wavelet which also led us to know that wavefront travel parallels to itself.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 29, Problem 1RCQ

To determine

Huygens’s hypothesis of every point on a wavefront.

Expert Solution & Answer

Answer to Problem 1RCQ

Solution:

Every point on a wavefront behaves as a secondary wavelet according to Huygens’s hypothesis.

Explanation of Solution

Huygens gave a principle through which we can imagine or geometrically construct the position of a wavefront at any instant. His hypothesis is

" Every point of wavefront behaves like a secondary wavelet which moves with the velocity of light in all directions ".
The meaning of Secondary wavelet is that every point on the wavefront behaves as a fresh source of the new disturbance. Let AB be a primary wavefront, then according to Huygens’s principle, every point on this wavefront behaves like a secondary wavelet. To determine the position of the wavefront after some time t, we take a help from geometry. The distance traveled by light in t seconds = ct. Then we make spheres of radius ct by taking every point on a primary wavefront as centers of those spheres. All those surfaces of spheres represent the position of secondary wavelets at time t. Drawing a surface A'B' touching those surfaces of spheres. It will be the position wavefront after time t.

Conceptual Physics (12th Edition), Chapter 29, Problem 1RCQ

Huygens Hypothesis

Conclusion:

We saw that Huygens imagined all point on (primary) wavefront as a secondary wavelet which also led us to know that wavefront travel parallels to itself.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 29, Problem 1RCQ

To determine

Huygens’s hypothesis of every point on a wavefront.

Expert Solution & Answer

Answer to Problem 1RCQ

Solution:

Every point on a wavefront behaves as a secondary wavelet according to Huygens’s hypothesis.

Explanation of Solution

Huygens gave a principle through which we can imagine or geometrically construct the position of a wavefront at any instant. His hypothesis is

" Every point of wavefront behaves like a secondary wavelet which moves with the velocity of light in all directions ".
The meaning of Secondary wavelet is that every point on the wavefront behaves as a fresh source of the new disturbance. Let AB be a primary wavefront, then according to Huygens’s principle, every point on this wavefront behaves like a secondary wavelet. To determine the position of the wavefront after some time t, we take a help from geometry. The distance traveled by light in t seconds = ct. Then we make spheres of radius ct by taking every point on a primary wavefront as centers of those spheres. All those surfaces of spheres represent the position of secondary wavelets at time t. Drawing a surface A'B' touching those surfaces of spheres. It will be the position wavefront after time t.

Conceptual Physics (12th Edition), Chapter 29, Problem 1RCQ

Huygens Hypothesis

Conclusion:

We saw that Huygens imagined all point on (primary) wavefront as a secondary wavelet which also led us to know that wavefront travel parallels to itself.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 29, Problem 1RCQ

To determine

Huygens’s hypothesis of every point on a wavefront.

Expert Solution & Answer

Answer to Problem 1RCQ

Solution:

Every point on a wavefront behaves as a secondary wavelet according to Huygens’s hypothesis.

Explanation of Solution

Huygens gave a principle through which we can imagine or geometrically construct the position of a wavefront at any instant. His hypothesis is

" Every point of wavefront behaves like a secondary wavelet which moves with the velocity of light in all directions ".
The meaning of Secondary wavelet is that every point on the wavefront behaves as a fresh source of the new disturbance. Let AB be a primary wavefront, then according to Huygens’s principle, every point on this wavefront behaves like a secondary wavelet. To determine the position of the wavefront after some time t, we take a help from geometry. The distance traveled by light in t seconds = ct. Then we make spheres of radius ct by taking every point on a primary wavefront as centers of those spheres. All those surfaces of spheres represent the position of secondary wavelets at time t. Drawing a surface A'B' touching those surfaces of spheres. It will be the position wavefront after time t.

Conceptual Physics (12th Edition), Chapter 29, Problem 1RCQ

Huygens Hypothesis

Conclusion:

We saw that Huygens imagined all point on (primary) wavefront as a secondary wavelet which also led us to know that wavefront travel parallels to itself.

Answer 6

Chapter 29, Problem 1RCQ

To determine

Huygens’s hypothesis of every point on a wavefront.

Expert Solution & Answer

Answer to Problem 1RCQ

Solution:

Every point on a wavefront behaves as a secondary wavelet according to Huygens’s hypothesis.

Explanation of Solution

Huygens gave a principle through which we can imagine or geometrically construct the position of a wavefront at any instant. His hypothesis is

" Every point of wavefront behaves like a secondary wavelet which moves with the velocity of light in all directions ".
The meaning of Secondary wavelet is that every point on the wavefront behaves as a fresh source of the new disturbance. Let AB be a primary wavefront, then according to Huygens’s principle, every point on this wavefront behaves like a secondary wavelet. To determine the position of the wavefront after some time t, we take a help from geometry. The distance traveled by light in t seconds = ct. Then we make spheres of radius ct by taking every point on a primary wavefront as centers of those spheres. All those surfaces of spheres represent the position of secondary wavelets at time t. Drawing a surface A'B' touching those surfaces of spheres. It will be the position wavefront after time t.

Conceptual Physics (12th Edition), Chapter 29, Problem 1RCQ

Huygens Hypothesis

Conclusion:

We saw that Huygens imagined all point on (primary) wavefront as a secondary wavelet which also led us to know that wavefront travel parallels to itself.

Answer 7

Chapter 29, Problem 1RCQ

To determine

Huygens’s hypothesis of every point on a wavefront.

Answer 8

Expert Solution & Answer

Answer to Problem 1RCQ

Solution:

Every point on a wavefront behaves as a secondary wavelet according to Huygens’s hypothesis.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Huygens gave a principle through which we can imagine or geometrically construct the position of a wavefront at any instant. His hypothesis is

" Every point of wavefront behaves like a secondary wavelet which moves with the velocity of light in all directions ".
The meaning of Secondary wavelet is that every point on the wavefront behaves as a fresh source of the new disturbance. Let AB be a primary wavefront, then according to Huygens’s principle, every point on this wavefront behaves like a secondary wavelet. To determine the position of the wavefront after some time t, we take a help from geometry. The distance traveled by light in t seconds = ct. Then we make spheres of radius ct by taking every point on a primary wavefront as centers of those spheres. All those surfaces of spheres represent the position of secondary wavelets at time t. Drawing a surface A'B' touching those surfaces of spheres. It will be the position wavefront after time t.

Conceptual Physics (12th Edition), Chapter 29, Problem 1RCQ

Huygens Hypothesis

Conclusion:

We saw that Huygens imagined all point on (primary) wavefront as a secondary wavelet which also led us to know that wavefront travel parallels to itself.

Answer 12

Ch. 29 - Prob. 1RCQ Ch. 29 - Prob. 2RCQ Ch. 29 - Prob. 3RCQ Ch. 29 - Prob. 4RCQ Ch. 29 - Prob. 5RCQ Ch. 29 - Prob. 6RCQ Ch. 29 - Prob. 7RCQ Ch. 29 - Prob. 8RCQ Ch. 29 - Prob. 9RCQ Ch. 29 - Prob. 10RCQ

Huygens’s hypothesis of every point on a wavefront.

Concept explainers

Huygens’s hypothesis of every point on a wavefront.

Answer to Problem 1RCQ

Explanation of Solution

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