What is the ratio of the amplitudes of the two waves?

In summary, the ratio of amplitudes of two waves is a measure of the relative strength or size of the waves. It is calculated by dividing the amplitude of one wave by the amplitude of the other wave. This ratio is important in wave interference as it determines the resulting amplitude of the interference pattern. The ratio cannot be negative, but it can be less than 1. It remains constant as distance from the source increases, but may change over time with non-coherent or different frequency waves.
  • #1
mathcrzy
47
0

Homework Statement



Two earthquake waves of the same frequency travel through the same portion of the Earth, but one is carrying ten times the energy. What is the ratio of the amplitudes of the two waves?

Homework Equations



I=Intensity
A=Amplitude
P=Power

I=A^2


The Attempt at a Solution

 
Physics news on Phys.org
  • #2
You have already written the right eqn, I=A^2.

I1 = 10*I2.
 
  • #3
I=10

10=A^2

SquareRoot(10)=A

A=3.16
 
  • #4
Correct.

A better way to write it would be: reqd ratio = sqrt(ratio of intensities) = sqrt(10) = 3.16.
 

1. What does the ratio of amplitudes of two waves represent?

The ratio of amplitudes of two waves is a measure of the relative strength or size of the two waves. It tells us how much larger or smaller one wave is compared to the other.

2. How is the ratio of amplitudes calculated?

The ratio of amplitudes is calculated by dividing the amplitude of one wave by the amplitude of the other wave. For example, if one wave has an amplitude of 4 and the other has an amplitude of 2, the ratio of amplitudes would be 4/2 = 2.

3. What is the significance of the ratio of amplitudes in wave interference?

The ratio of amplitudes is important in wave interference because it determines the resulting amplitude of the interference pattern. If the ratio is large, the interference will be constructive and the resulting amplitude will be large. If the ratio is small, the interference will be destructive and the resulting amplitude will be small.

4. Can the ratio of amplitudes be negative?

No, the ratio of amplitudes cannot be negative. It is a measure of size or strength and therefore must be a positive number. However, it can be less than 1, indicating that one wave is smaller than the other.

5. How does the ratio of amplitudes change with distance from the source?

The ratio of amplitudes remains constant as the distance from the source increases. This is because the amplitude of a wave decreases with distance according to the inverse square law, so the ratio of amplitudes between two waves will not change. However, if the waves are not coherent or have different frequencies, the ratio of amplitudes may change over time as the waves interact and interfere with each other.

Similar threads

  • Introductory Physics Homework Help
Replies
2
Views
640
Replies
16
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
3K
  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
3
Views
2K
  • Introductory Physics Homework Help
Replies
17
Views
376
  • Introductory Physics Homework Help
Replies
1
Views
830
  • Introductory Physics Homework Help
Replies
8
Views
2K
  • Introductory Physics Homework Help
Replies
20
Views
2K
  • Introductory Physics Homework Help
Replies
10
Views
924
Back
Top