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Chapter 10: Problem 10

What happens to the apparent frequency as you move away from a source of waves?

Short Answer

Expert verified
The apparent frequency decreases as you move away from the source of waves.

Step by step solution

01

Understanding Apparent Frequency

Apparent frequency is the frequency of the waves as perceived by an observer.
02

Relative Motion and Doppler Effect

To solve this, start by understanding the Doppler Effect. The Doppler Effect describes the change in frequency of a wave in relation to an observer who is moving relative to the wave source.
03

Moving Away from the Source

When an observer moves away from the source of waves, the waves have to travel a greater distance to reach the observer. Hence, the waves are spaced further apart.
04

Reduction in Frequency

Since the waves are spaced further apart, this means that the observer will perceive fewer waves per unit of time. Therefore, the apparent frequency decreases.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Apparent Frequency
The apparent frequency is the frequency at which an observer perceives a wave coming from a source.
When the observer and the source are stationary, the apparent frequency is equal to the actual frequency emitted by the source.
However, when either the source or observer is moving, the apparent frequency changes.
Studying this concept helps us understand how everyday phenomena like a passing ambulance siren varies in pitch.
In simple terms, the apparent frequency depends on the relative speed between the observer and the source of the wave.
If they move closer, the frequency increases; if they move apart, the frequency decreases.
Wave Source
The wave source is the origin point from which waves are generated.
This can be anything that emits waves, such as a sound speaker, a light bulb, or even a moving vehicle with a siren.
The properties of the waves, such as their frequency and wavelength, are determined by the source.
When discussing the Doppler Effect, it鈥檚 crucial to consider the motion of the wave source relative to the observer.
If the source moves toward the observer, waves compress, leading to an increased frequency.
Conversely, if the source moves away, waves spread out, and the frequency decreases.
Relative Motion
Relative motion refers to the movement of two objects in relation to each other.
In the context of waves, relative motion between the observer and the wave source triggers the Doppler Effect.
When there is no relative motion, the apparent frequency equals the actual frequency.
But when the observer moves away from the source, each subsequent wave crest has to travel a further distance to reach the observer.
This increased travel distance means that fewer waves reach the observer per unit time, resulting in a lower apparent frequency.
Understanding relative motion is key to solving problems and predicting the behavior of waves in different scenarios.

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