Question

which statement accurately compares a radio wave and an infrared wave? a radio wave has a longer wavelength and a higher frequency a radio wave has a longer wavelength and a lower frequency a radio wave has a shorter wavelength and a lower frequency a radio wave has a shorter wavelength and a higher frequency

Explanation:

Step1: Recall the relationship between wavelength and frequency

The formula for the speed of a wave is \(c = \lambda f\), where \(c\) is the speed of light (\(c = 3\times10^{8}\space m/s\) for electromagnetic waves in vacuum), \(\lambda\) is the wavelength, and \(f\) is the frequency. Since \(c\) is constant for electromagnetic waves in vacuum, \(\lambda\) and \(f\) are inversely related (\(\lambda=\frac{c}{f}\) or \(f = \frac{c}{\lambda}\)).

Step2: Compare the positions of radio waves and infrared waves in the electromagnetic spectrum

In the electromagnetic spectrum, radio waves have longer wavelengths than infrared waves. Using the inverse - relationship \(\lambda=\frac{c}{f}\), if \(\lambda_{radio}>\lambda_{infrared}\), then \(f_{radio}

Answer:

B. A radio wave has a longer wavelength and a lower frequency