Question

interpret station
electromagnetic spectrum
use the diagram to answer the questions below.
wavelength (m)
radio microwave infrared visible ultraviolet x - ray gamma
10³ 10⁻² 10⁻⁵ 10⁻⁶ 10⁻⁸ 10⁻¹⁰ 10⁻¹²
frequency (hz)
radio microwave infrared visible ultraviolet x - ray gamma
10⁴ 10⁸ 10¹² 10¹⁵ 10¹⁶ 10¹⁸ 10²⁰

1. which type of electromagnetic wave has the highest frequency and which has the lowest frequency?
2. which type of electromagnetic wave has the longest wavelength and which has the shortest wavelength?
3. describe the relationship between frequency and wavelength on the electromagnetic spectrum.
4. a wave with a wavelength of 10⁻³ meters would most likely be what type of wave?
5. a wave with a frequency of 10⁴ hz would most likely be what type of wave?
6. identify two objects that use a wavelength of 10⁻⁵ meters.
7. identify two objects that use a frequency of 10⁸ hz.

Explanation:

Step1: Analyze frequency values

Looking at the frequency scale, gamma - rays have the highest frequency ($10^{20}$ Hz) and radio - waves have the lowest frequency ($10^{4}$ Hz).

Step2: Analyze wavelength values

From the wavelength scale, radio - waves have the longest wavelength ($10^{3}$ m) and gamma - rays have the shortest wavelength ($10^{-12}$ m).

Step3: Recall relationship

The relationship between frequency ($f$) and wavelength ($\lambda$) in the electromagnetic spectrum is given by $c = f\lambda$, where $c$ is the speed of light. So, frequency and wavelength are inversely proportional.

Step4: Identify wave type by wavelength

A wavelength of $10^{-3}$ m falls within the microwave range.

Step5: Identify wave type by frequency

A frequency of $10^{4}$ Hz is in the radio - wave range.

Step6: Objects for $10^{-5}$ m wavelength

Infrared waves have a wavelength around $10^{-5}$ m. Objects that use infrared include remote controls and night - vision goggles.

Step7: Objects for $10^{8}$ Hz frequency

Microwaves have a frequency around $10^{8}$ Hz. Objects that use microwaves include microwave ovens and some wireless communication devices.

Answer:

1. Gamma - rays have the highest frequency; radio - waves have the lowest frequency.
2. Radio - waves have the longest wavelength; gamma - rays have the shortest wavelength.
3. Frequency and wavelength are inversely proportional ($c = f\lambda$, where $c$ is the speed of light).
4. Microwave.
5. Radio - wave.
6. Remote controls, night - vision goggles.
7. Microwave ovens, some wireless communication devices.