Question

microwave radiation falls in the wavelength region of 1.00×10⁻³ to 1.00 meters.
what is the frequency of microwave radiation that has a wavelength of 0.512 m.
frequency = sec⁻¹.
use the references to access important values if needed for this question.

Explanation:

Step1: Recall the formula for frequency

The formula for the speed of light \(c\) is \(c = \lambda
u\), where \(c = 3\times10^{8}\text{ m/s}\), \(\lambda\) is the wavelength, and \(
u\) is the frequency. We can solve for \(
u\) as \(
u=\frac{c}{\lambda}\).

Step2: Substitute the given values

Given \(\lambda = 0.512\text{ m}\) and \(c = 3\times10^{8}\text{ m/s}\), we substitute into the formula: \(
u=\frac{3\times 10^{8}\text{ m/s}}{0.512\text{ m}}\).

Step3: Calculate the frequency

\(
u=\frac{3\times 10^{8}}{0.512}=5.86\times10^{8}\text{ s}^{-1}\)

Answer:

\(5.86\times 10^{8}\)