Math Problem Statement
Calculate the wavelength in meters of electromagnetic radiation that has a frequency of 1.22 × 10⁸ s⁻¹. (c = 3.00 X 10⁸ m/s)
Solution
To calculate the wavelength () of electromagnetic radiation, we can use the formula:
Where:
- is the speed of light in a vacuum ()
- is the frequency of the radiation ()
Substituting the given values:
Now, let's compute this.
So, the wavelength of the electromagnetic radiation is approximately 2.46 meters.
Would you like more details or further clarification?
Here are 5 related questions:
- What is the relationship between wavelength and frequency in the electromagnetic spectrum?
- How does the wavelength change when frequency increases?
- What types of electromagnetic radiation correspond to wavelengths around 2.46 meters?
- How is the speed of light related to electromagnetic waves?
- What are the typical applications of electromagnetic waves with a frequency of ?
Tip: The wavelength and frequency of a wave are inversely proportional: as frequency increases, wavelength decreases.
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Math Problem Analysis
Mathematical Concepts
Physics
Electromagnetic Waves
Wavelength and Frequency
Formulas
λ = c / f
Theorems
Inverse Proportionality of Wavelength and Frequency
Suitable Grade Level
Grades 9-12
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