Question

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

Explanation:

Step1: Recall the relationship between wavelength and frequency

In the electromagnetic spectrum, the product of wavelength ($\lambda$) and frequency ($f$) is equal to the speed of light ($c$), i.e., $c = \lambda f$. Since $c$ is constant ($c= 3\times10^{8}\text{ m/s}$ in vacuum), when the wavelength is longer, the frequency is lower and vice - versa.

Step2: Locate radio waves and infrared waves in the electromagnetic spectrum

From the electromagnetic spectrum diagram (a general knowledge about the electromagnetic spectrum: radio waves have longer wavelengths than infrared waves).
Since $\lambda_{\text{radio}}>\lambda_{\text{infrared}}$, using the formula $f=\frac{c}{\lambda}$, we can say that $f_{\text{radio}}

Answer:

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