Question

use the spectrum to choose the best answers. what has the longer wavelength—microwaves or visible light? microwaves visible light use the spectrum to choose the best answer. the longer the wavelength, the higher or lower the frequency? lower higher use the spectrum to choose the best answer. what has the higher frequency—gamma rays or x - rays?

Explanation:

Step1: Analyze the electromagnetic - spectrum

From the given electromagnetic - spectrum, we can see that the wavelength of microwaves is in the range of approximately 1 - $10^{3}$ meters and the wavelength of visible light is in the range of approximately $10^{-7}$ meters. So microwaves have a longer wavelength.

Step2: Recall the relationship between wavelength and frequency

The relationship between wavelength ($\lambda$) and frequency ($f$) is given by the formula $c = \lambda f$, where $c$ is the speed of light. Since $c$ is constant, when $\lambda$ increases, $f$ decreases. So the longer the wavelength, the lower the frequency.

Step3: Compare gamma - rays and x - rays

From the electromagnetic - spectrum, gamma - rays have a shorter wavelength than x - rays. Using the formula $c=\lambda f$, since $c$ is constant, a shorter wavelength means a higher frequency. So gamma - rays have a higher frequency.

Answer:

1. microwaves
2. lower
3. gamma rays