Math Problem Statement

Answer it and give me specific answer

Calculate the wavelength (λ) using the given frequency (474 Hz) and the speed of light (3×10^8 m/s).

Solution

The formula presented in the image relates to the calculation of the wavelength (λ) of a wave. Here’s the breakdown of the equation:

Given:

  • Frequency F=474HzF = 474 \, \text{Hz}
  • Speed of light C=3×108m/sC = 3 \times 10^8 \, \text{m/s}

The wavelength λ\lambda can be calculated using the formula:

λ=CF\lambda = \frac{C}{F}

Substitute the given values:

λ=3×108m/s474Hz\lambda = \frac{3 \times 10^8 \, \text{m/s}}{474 \, \text{Hz}}

Let me calculate that for you.The wavelength λ\lambda is approximately 632,911.39m632,911.39 \, \text{m}.

Would you like more details or have any further questions?

Here are 5 related questions you might find interesting:

  1. How does the wavelength change if the frequency is doubled?
  2. What is the relationship between wavelength and wave speed?
  3. How does the speed of light affect wavelength calculations?
  4. What is the significance of wavelength in radio waves versus visible light?
  5. Can frequency affect the energy of a wave? If so, how?

Tip: Remember, higher frequencies result in shorter wavelengths for the same wave speed!

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Math Problem Analysis

Mathematical Concepts

Wave Properties
Frequency
Wavelength
Speed of Light

Formulas

λ = C/F (Wavelength = Speed of Light / Frequency)

Theorems

Wave Equation

Suitable Grade Level

Grades 9-12