Two students hold the ends of a jump rope. One student moves the jump rope up and down, making a wave. Then, the student moves it faster. Which quantity of the wave will increase?(1 point)
Responses
speed
speed
frequency
frequency
amplitude
amplitude
wavelength
amplitude
The correct answer is "frequency". When one student moves the jump rope up and down, it creates a wave with a certain frequency, which refers to the number of complete cycles or oscillations that occur per unit of time. By moving the jump rope faster, the student increases the frequency of the wave.
To understand why frequency changes with an increase in speed, we need to understand the properties of a wave. A wave is characterized by several properties, including speed, frequency, amplitude, and wavelength.
- Speed: This refers to how fast the wave is propagating through a medium. In this scenario, the speed at which the student moves the jump rope does not affect the actual speed of the wave itself. So, speed remains constant.
- Frequency: This refers to the number of complete cycles or oscillations of the wave that occur in a given amount of time. When the student moves the jump rope faster, they are able to complete more cycles or oscillations in the same period of time, leading to an increase in frequency.
- Amplitude: This refers to the maximum displacement or height of the wave from its resting or equilibrium position. In this scenario, the amplitude of the wave is not affected by the speed at which the student moves the jump rope. So, amplitude remains constant.
- Wavelength: This refers to the distance between two corresponding points on a wave, such as the distance between two consecutive crests or troughs. The wavelength of the wave is not affected by the speed at which the student moves the jump rope. So, the wavelength also remains constant.
Therefore, the only quantity that increases when the student moves the jump rope faster is the frequency of the wave.