What frequency is radiation whose wavelength is 5.00 * 10^-6 m? What type of radiation is this?

Understand the Problem

The question is asking to calculate the frequency of radiation given its wavelength and identify what type of radiation it corresponds to. To solve this, we will use the formula that relates wavelength and frequency: frequency = speed of light / wavelength.

Answer

$ f = \frac{c}{\lambda} $

Steps to Solve

Identify the speed of light
The speed of light in a vacuum is a constant value, approximately $c = 3.00 \times 10^8 , \text{m/s}$.
Use the wavelength given
To find the frequency, we need the wavelength of the radiation. Let's denote the wavelength as $\lambda$.
Apply the formula
The formula relating frequency $f$, speed of light $c$, and wavelength $\lambda$ is given by:
$$ f = \frac{c}{\lambda} $$
Substituting the values of $c$ and $\lambda$ into the formula will give us the frequency.
Calculate the frequency
After substituting, perform the division to find the frequency value.
Identify the type of radiation
Based on the frequency calculated, we can identify the type of radiation. For example, visible light falls in the range of approximately $4.0 \times 10^{14} , \text{Hz}$ to $7.5 \times 10^{14} , \text{Hz}$.

The final answer for frequency will depend on the specific wavelength provided in the problem.

More Information

The frequency of electromagnetic radiation determines its type, with lower frequencies corresponding to radio waves and higher frequencies corresponding to gamma rays. Each type of radiation has practical applications, such as communication, medical imaging, and astronomy.

Tips

Forgetting to convert the wavelength to meters if it's given in a different unit (e.g., nanometers).
Not using the correct value for the speed of light.
Miscalculating the division in the frequency formula.

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