Use the table to answer the question.
Wave Wavelength (meters) Frequency (hertz)
W 5 200
X 3 300
The table shows information about two waves. Based on the given information, which conclusion can be made?
The wave with a shorter wavelength has a higher frequency.
Based on the given information, the conclusion that can be made is that wave X has a higher frequency than wave W.
To answer this question, we need to examine the information in the table. The table provides data on two waves, designated as W and X, and their corresponding wavelengths and frequencies.
Let's analyze the information provided in the table:
1. Wave W has a wavelength of 5 meters and a frequency of 200 hertz.
2. Wave X has a wavelength of 3 meters and a frequency of 300 hertz.
Now, let's understand the relationship between wavelength and frequency. The wavelength of a wave is defined as the distance between two consecutive points in a wave that are in phase. It is represented by the symbol λ (lambda) and is measured in meters (m).
The frequency of a wave is the number of complete oscillations or cycles it completes in 1 second. It is represented by the symbol ƒ (nu) and is measured in hertz (Hz).
The relationship between wavelength and frequency can be expressed by the formula:
velocity (v) = wavelength (λ) × frequency (ƒ)
From the given table, we can observe that wave W has a longer wavelength (5 meters) compared to wave X (3 meters). However, wave X has a higher frequency (300 hertz) compared to wave W (200 hertz).
Based on this information, we can conclude that:
- Wave W has a longer wavelength but a lower frequency compared to wave X.
- Wave X has a shorter wavelength but a higher frequency compared to wave W.
Therefore, the conclusion we can make from the given table is that wave X has a shorter wavelength but a higher frequency compared to wave W.