Doubling the frequency of a wave source doubles the speed of the waves. ( True or False)
true
False.
Doubling the frequency of a wave source does not have any direct effect on the speed of the waves. The speed of a wave is determined by the properties of the medium through which it is propagating, not by the frequency of the source.
False. Doubling the frequency of a wave source does not double the speed of the waves. The speed of a wave is determined by the medium through which it travels, not the frequency of the source. The frequency of a wave refers to the number of complete cycles or oscillations it completes in a given time, while the speed of a wave refers to how fast it propagates through a medium.
To understand the relationship between frequency and speed, it is important to know that the speed of a wave is constant in a given medium, regardless of its frequency. This fundamental concept is known as the wave speed formula:
Speed = Frequency × Wavelength
According to this formula, the speed of a wave (v) is equal to the product of its frequency (f) and its wavelength (λ). Therefore, if the frequency of a wave is doubled, while the wavelength remains the same, the speed will remain unchanged.
For example, if a wave has a frequency of 10 Hz and a corresponding wavelength of 2 meters (resulting in a speed of 20 m/s), and then the frequency is doubled to 20 Hz, the wavelength would need to be halved to maintain the same speed of 20 m/s.
In summary, doubling the frequency of a wave source does not double the speed of the waves. The speed of a wave depends on the medium through which it travels, and it remains constant as long as the wavelength and frequency change in proportion to each other.
Frequency = (speed)/(wavelength)
However! The speed of a wave is constant for a given medium (ex. air, water). Therefore doubling frequency halves the wavelength, but keeps speed constant.