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What is the frequency of electromagnetic radiation having a wavelength of 3.6 x 10^-4 meters?

a. 2.78 x 10^9 Hz
b. 3.6 x 10^4 Hz
c. 8.33 x 10^-4 Hz
d. 6.25 x 10^3 Hz

User Maimouna
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1 Answer

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Final Answer:

The frequency of electromagnetic radiation with a wavelength of 3.6 x 10⁴ meters is 8.33 x 10³ Hz.option b.

Step-by-step explanation:

The frequency of electromagnetic radiation can be calculated using the formula: frequency = speed of light / wavelength. The speed of light in a vacuum is approximately 3.00 x 10⁸ meters per second. By substituting the given wavelength into the formula, we get: frequency = (3.00 x 10⁸ m/s) / (3.6 x 10⁴ m) = 8.33 x 10¹¹ Hz.

However, since the given wavelength is in meters, the answer should be in hertz, so we convert the result to scientific notation, giving us the final answer of 8.33 x 10³ Hz.

In this case, the frequency of the electromagnetic radiation with a wavelength of 3.6 x 10⁴meters is found to be in the radio wave region of the electromagnetic spectrum. This type of radiation is commonly used for communication purposes, including radio and television broadcasting, as well as various wireless technologies.

Understanding the relationship between wavelength and frequency is crucial in various scientific and technological applications, including telecommunications, astronomy, and medical imaging. It allows scientists and engineers to manipulate and harness different forms of electromagnetic radiation for diverse purposes.

So correct option is option b.

User Elas
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