Concept explainers
How does the speed of a wave relate to its wavelength and frequency?
To express: The relation of speed of a wave in terms of itswavelength and frequency.
Answer to Problem 9A
The speed of a wave in terms of frequency and wavelength is
Explanation of Solution
Introduction:
The speed of any object is the distance travelled by it in a given time.
In the case of a wave, the distance traveled by it is expressed in terms of the wavelength and time is expressed as the reciprocal of frequency.
In the above sine wave, the distance for one full cycle is expressed as the wavelength λ, the
velocity of propagation is denoted as the speed with which the wave progresses in the given medium and the frequency is denoted by f which gives the number of cycles completed in one second.
This can be mathematically expressed as,
This gives the relationship between the speed, wavelength and frequency of a wave.
Chapter 25 Solutions
Conceptual Physics: The High School Physics Program
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