CONCEPTUAL PHYSICS LL FD
12th Edition
ISBN: 9780135745816
Author: Hewitt
Publisher: PEARSON
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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.
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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Chapter 29 Solutions
CONCEPTUAL PHYSICS LL FD
Ch. 29 - Prob. 1RCQCh. 29 - Prob. 2RCQCh. 29 - Prob. 3RCQCh. 29 - Prob. 4RCQCh. 29 - Prob. 5RCQCh. 29 - Prob. 6RCQCh. 29 - Prob. 7RCQCh. 29 - Prob. 8RCQCh. 29 - Prob. 9RCQCh. 29 - Prob. 10RCQ
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