Finding out the Equations of Wavelength to Frequency Calculation

Frequency is defined as the number of cycles completed per unit of time. It can also be defined as the number of oscillations per unit of time. SI unit of frequency is Hertz. It’s denoted by the letter ‘f’. The distance between corresponding points of two consecutive waves is called wavelength.

Its symbol is ‘λ’. SI unit of wavelength is a meter. In this post, we will use this basic knowledge to calculate wavelengths by knowing the frequency and frequency using the wavelengths. This is possible through the contents of the Wavelength Equation assignment help. In physics and engineering, the wavelength to frequency and frequency to wavelength calculations are crucial. In this post, we will learn about all calculations related to Wavelength and frequency calculation. If you need Wavelength Equation assignment help then BookMyEssay got you covered, they provide great assignment help service at low prices.

How Wave Length and Frequency Work Together?

v = λf is a simple equation that creates a relation between wavelength and frequency, where v = Wave speed (Wave speed is the speed at which a wave moves), λ = Wavelength (The length that the wave's shape repeats over), f = Frequency (It’s the number of occurrences of an event over time). In a vacuum, electromagnetic radiation waves travel at the speed of causality (light speed), the speed of causality is denoted by the letter ‘c’, or c = λf. However, the wave speed of other types of waves and light passing through a medium differs. Here is a list below that contains the different wave speeds of other types of waves and light passing through a medium:
  • Speed of causality in a vacuum: 299,792,458 meters per second
  • Speed of causality in water: 224,901,000 m/s
  • Acoustic speed (Speed of sound in air): 343.2 m/s
  • Acoustic speed in water at 20 °C temperature: 1,481 m/s
A wave's wavelength and frequency are inversely proportional. As wavelength increases, the frequency decreases. As frequency increases, wavelength decreases. My assignment help UK of choice is BookMyEssay because they provide me with the best service at an affordable.

Using Frequency to Figure Out Wavelength

By doing some basic algebra, we can rearrange our previously written equation to calculate wavelength from frequency: λ = v ÷ f As an example, using this equation, we can find the wavelength of the musical note G4, by knowing that G4 has a frequency of 392 Hz. The only tricky part of the math is keeping the units straight. Usually, you work with meters and hertz and then convert them to other units (e.g., nanometers, THz, GHz). In this problem, the speed of the waves is the acoustic speed (Speed of sound in air), which equals 343.2 m/s. The frequency is 392 Hertz. One Hertz unit is one cycle (wave) per second, so a frequency of 392 Hz is 392 s-1. λ = v ÷ f λ = 343.2 m/s ÷ 392 s-1, = (343.2 ÷ 392) m, = 0.876 m, = 87.6 cm. That means the wavelength of the musical note G4 is 87.6 cm. As another example, we will find the wavelength of inferred light, which has a frequency of 3x1012 Hz which is 3x1012 s-1. BookMyEssay provides the best Academic writing guidance at extremely low rates. λ = c ÷ f λ = 299792458 m/s ÷ 3x1012 s-1, = (299792458 ÷ 3x1012) m, = 9.99308x10-5 m, = 99.9308 µm. That means inferred light has a wavelength of 99.9308 µm.

Using Wavelength to Figure Out Frequency

To determine the wavelength given the frequency, rearrange the equation as follows: f = v ÷ λ. Using the equation mentioned above, we can find the frequency of X-ray electromagnetic radiation, knowing its wavelength is 10-6 m. BookMyEssay is the Best Assignment Helper service. f = v ÷ λ (v equals c because X-ray travels at the speed of light), = c ÷ λ, = 299792458 m/s ÷ 10-6 m, = 3x1017 Hz, = 300 PHz. That means X-rays have a frequency of 300 PHz. A List of Wavelengths and Frequencies for Different Electromagnetic Radiations The list given below contains wavelengths and frequencies for different electromagnetic radiations:
  1. Gamma radiation                                        1 pm                    300 EHz
  2. X-ray                                                               1 nm                    300 PHz
  3. Ultraviolet                                                     100 nm               3 PHz
  4. Visible light                                                   400-700 nm       430-750 THz
  5. Infrared light                                                 100 μm               3 THz
  6. Extremely high-frequency light (EHF)      1 mm                   300 GHz
  7. Super high-frequency light (SHF)              1 cm                    30 GHz
  8. Ultra-high frequency light (UHF)               1 dm                    3 GHz
  9. Very high-frequency light (VHF)               10 m                    30 MHz
  10. Extremely low-frequency light (ELF)        100,000              km 3 Hz

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