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? Frequency. Speed. Wavelength. Amplitude.

Answer 1

When the student moves the jump rope up and down faster, the frequency of the wave increases. Frequency is defined as the number of waves produced in a given amount of time. Therefore, when the rope is waved more quickly, more waves pass a given point in the same amount of time, leading to an increase in frequency.

While speed of the wave is determined by the medium (in this case, the jump rope), and wavelength is inversely related to frequency, the most direct response to the action of moving the jump rope up and down faster is the increase in frequency.

So, the correct answer is: Frequency.

Answer 2

Are you sure?

Answer 3

Yes, I'm sure. When a wave is generated on a rope or similar medium, a few key relationships hold true:

1. Frequency (\(f\)): The number of waves (or cycles) that pass a point in a unit of time (usually seconds).
2. Wavelength (\(λ\)): The distance between successive crests (or troughs) of the wave.
3. Wave Speed (\(v\)): The speed at which the wave propagates through the medium, given by the formula \(v = f \cdot λ\).

When the student moves the jump rope up and down faster, the number of oscillations (waves) produced per unit time increases, which directly increases the frequency.

If the speed of the wave remains constant (which it typically does for a given medium when the tension is constant), an increase in frequency will cause the wavelength to decrease (since \(v = f \cdot λ\) must hold true). On the other hand, the amplitude of the wave (the maximum displacement from the rest position) is not necessarily affected by how fast the rope is moved unless the student specifically changes how far they move it up and down.

So, in summary, as the student moves the rope faster, the quantity that increases is indeed the frequency of the wave.

Answer 4

Use the table to answer the question. Darius wavelength increase frequency increase kathryn wavelength increase frequency remain the same anya wavelength decrease frequency increase franco wavelength remain the same frequency decrease. Four students write their ideas about the relationship between wavelength and frequency. Which student is correct? Kathryn. Franco. Darius. Anya.

Answer 5

To analyze the relationship between wavelength and frequency based on the information from the table, we can refer to the wave equation:

\( v = f \cdot λ \)

Where:

• \( v \) is the wave speed,
• \( f \) is the frequency,
• \( λ \) is the wavelength.

From the table you provided:

• Darius: Wavelength increases, frequency increases.
• Kathryn: Wavelength increases, frequency remains the same.
• Anya: Wavelength decreases, frequency increases.
• Franco: Wavelength remains the same, frequency decreases.

Given the wave equation, if the wavelength increases and the speed of the wave remains constant, the frequency must decrease (since an increase in wavelength will lead to a decrease in frequency if the wave speed doesn't change).

From this understanding, let's evaluate each student's statement:

• Darius is incorrect because if the wavelength increases, the frequency should not also increase.
• Kathryn is correct because if the wavelength increases and the frequency remains the same, this implies that the wave speed is changing.
• Anya is incorrect because if the wavelength decreases, the frequency should increase, which is true.
• Franco is partially correct, as it is possible for the frequency to decrease if the wavelength remains constant and the wave speed decreases, but this doesn't directly address the relationship between wavelength and frequency.

In conclusion, Kathryn is the student who has written about the relationship correctly, stating that an increase in wavelength can occur while frequency remains the same.

Answer 6

A term for the top-most point of a wave is the blank. Amplitude. Trough. Frequency. Crest.

Answer 7

The term for the top-most point of a wave is the crest.

Here’s a brief explanation of the terms mentioned:

• Amplitude: This refers to the height of the wave from the rest position to the crest or trough.
• Trough: This is the lowest point of the wave, opposite the crest.
• Frequency: This refers to how many waves pass a given point in a certain amount of time.

So the correct answer is Crest.

Answer 8

Which term describes the resting position of a wave? Equilibrium. Frequency. Amplitude. Crest.

Answer 9

The term that describes the resting position of a wave is equilibrium.

In the context of a wave, the equilibrium position is the baseline level where the medium would be if there were no disturbance from the wave. Other terms you mentioned refer to different aspects of the wave:

• Frequency: The number of cycles of the wave that pass a point in a given time period.
• Amplitude: The height of the wave from the equilibrium position to the crest or trough.
• Crest: The highest point of the wave.

Therefore, the correct answer is Equilibrium.