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Physics 101 Learning Object 7:
Wave Propagation and Huygens' Principle (Answers)
Question 1. We have a point source that creates a series of spherical waves in all three
directions. What is the difference in the energy per unit area of a wave farther from the source
in comparison to a closer wave?
A) The energy per unit area in the wave farther away is greater than in the closer wave.
B) The energy per unit area in the wave farther away is less than in the closer wave.
C) There is no difference in the energy per unit area in the waves.
Answer: B) The energy per unit area in the wave farther away is less than in the closer wave.
Explanation:
When answering this question, the main concept we have to keep in mind is the conservation of energy.
This means that total energy of the wave is conserved as the wave propagates through the air. Since the
wave expands as each spherical wave forms and thus the wave's area increases, the energy per unit area
in the wave farther away must be less than for the closer wave in order for them to have the same total
wave energy.
Question 2. This is our wave front.
Diamond Shape
Which of these wave fronts could be the resulting wave front of our current one?
(Hint: Use Huygens' Principle.)
A) Large Circle Shape B) Small Square Shape C) Large Diamond Shape
Answer: C) Large Diamond Shape
Explanation:
When looking at this question, we can easily cross out B as a possible answer since it is smaller than the
current wave front and as the wave propagates from a center point, its resulting wave front cannot be
smaller than the original one.
The reason that A cannot be the answer because when you apply the Huygens' principle to a wave front,
you will continue to get the same shape, merely of a larger area as the wave propagates. Through this
application of Huygens' principle we can see that the most appropriate answer is C.

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Learning Object 7: Wave Propagation and Huygens' Principle

  • 1.
  • 2. Physics 101 Learning Object 7: Wave Propagation and Huygens' Principle (Answers) Question 1. We have a point source that creates a series of spherical waves in all three directions. What is the difference in the energy per unit area of a wave farther from the source in comparison to a closer wave? A) The energy per unit area in the wave farther away is greater than in the closer wave. B) The energy per unit area in the wave farther away is less than in the closer wave. C) There is no difference in the energy per unit area in the waves. Answer: B) The energy per unit area in the wave farther away is less than in the closer wave. Explanation: When answering this question, the main concept we have to keep in mind is the conservation of energy. This means that total energy of the wave is conserved as the wave propagates through the air. Since the wave expands as each spherical wave forms and thus the wave's area increases, the energy per unit area in the wave farther away must be less than for the closer wave in order for them to have the same total wave energy. Question 2. This is our wave front. Diamond Shape Which of these wave fronts could be the resulting wave front of our current one? (Hint: Use Huygens' Principle.) A) Large Circle Shape B) Small Square Shape C) Large Diamond Shape Answer: C) Large Diamond Shape Explanation: When looking at this question, we can easily cross out B as a possible answer since it is smaller than the current wave front and as the wave propagates from a center point, its resulting wave front cannot be smaller than the original one. The reason that A cannot be the answer because when you apply the Huygens' principle to a wave front, you will continue to get the same shape, merely of a larger area as the wave propagates. Through this application of Huygens' principle we can see that the most appropriate answer is C.