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 - no response given

frequency
frequency - no response given

wavelength

wavelength

When the student moves the jump rope faster, the quantity of the wave that will increase is the frequency. The frequency refers to the number of complete waves that pass by a given point in a certain amount of time. So, when the jump rope is moved faster, the waves are generated at a higher rate, resulting in an increase in frequency.

To determine which quantity of the wave will increase when the student moves the jump rope faster, we first need to understand the different properties of a wave.

A wave is a disturbance that travels through a medium, transferring energy from one point to another without transferring matter. Three key properties of a wave are speed, frequency, and wavelength.

1. Speed: The speed of a wave refers to how fast it moves through a medium. It is usually represented by the symbol v. The speed of a wave is determined by the medium through which it travels, and it is generally constant for a given medium. So, if the student moves the jump rope faster, the wave's speed will not change.

2. Frequency: Frequency is the number of complete wave cycles that pass a fixed point per unit of time. It is usually represented by the symbol f or nu (ν). Frequency is measured in hertz (Hz). When the student moves the jump rope faster, the frequency of the wave will increase. This means that more wave cycles will pass by a fixed point in a given amount of time.

3. Wavelength: Wavelength is the distance between two corresponding points on a wave, such as the distance between two peaks or two troughs. It is usually represented by the symbol λ (lambda). Wavelength is measured in units such as meters (m) or centimeters (cm). When the student moves the jump rope faster, the wavelength of the wave will remain the same. The distance between peaks or troughs will not change.

Therefore, when the student moves the jump rope faster, it is the frequency of the wave that will increase, while the speed and wavelength will remain the same.