What is the Wavelength of a 2.50 Kilohertz?
Introduction:
Wavelength plays a significant role in the study of waves, including sound and light waves. Understanding the relationship between wavelength and frequency is crucial to comprehend the behavior and characteristics of these waves. In this article, we will explore the concept of wavelength and calculate the wavelength of a 2.50 kilohertz (kHz) wave.
I. Understanding Wavelength:
Wavelength is defined as the distance between two consecutive points on a wave that are in phase with each other. It is commonly represented by the symbol λ (lambda). Wavelength can be measured in various units, such as meters, centimeters, or nanometers, depending on the scale of the wave being analyzed.
II. Relation between Frequency and Wavelength:
Frequency (f) refers to the number of complete wave cycles passing through a given point in a second. It is usually measured in hertz (Hz), where one hertz equals one wave cycle per second. The speed of a wave (v) is equal to the product of its wavelength and frequency, which can be expressed as:
v = λ * f
This equation demonstrates that as the frequency of a wave increases, its wavelength decreases, assuming the speed remains constant.
III. Calculating the Wavelength of a 2.50 Kilohertz Wave:
Given that the frequency of the wave in question is 2.50 kilohertz (2.50 kHz), we can now calculate its wavelength. To do this, we need to convert the frequency from kilohertz to hertz, as the equation above requires frequency in hertz.
1 kilohertz = 1000 hertz
Therefore, the frequency becomes:
2.50 kHz = 2.50 * 1000 Hz = 2500 Hz
Now, using the equation v = λ * f, we can rearrange it to solve for the wavelength (λ):
λ = v / f
Assuming the speed of the wave is known, substituting the values, we can calculate the wavelength of the 2.50 kilohertz wave.
Example:
Let us consider a sound wave with a speed of 340 meters per second (m/s). Plugging in the values, we have:
λ = 340 m/s / 2500 Hz = 0.136 meters
Hence, the wavelength of a 2.50 kilohertz wave, with a speed of 340 m/s, is 0.136 meters.
Conclusion:
Wavelength is a fundamental property of waves and is closely related to their frequency. Understanding the concepts of wavelength and frequency can help us analyze and interpret different types of waves. In the case of a 2.50 kilohertz wave, its wavelength can be calculated using the equation v = λ * f, where the wavelength is equal to the speed of the wave divided by its frequency. By performing this calculation, we discovered that the wavelength of a 2.50 kilohertz wave, with a speed of 340 m/s, is 0.136 meters.
