Physics worksheet designed to test students' understanding of the electromagnetic spectrum relationships.

Let's solve each question on the Electromagnetic Spectrum Worksheet #1 step by step, with explanations.

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1. In each of the following pairs, circle the form of radiation with the LONGER WAVELENGTH:

Recall:
- Longer wavelength → lower frequency → lower energy
- The electromagnetic spectrum (from long to short wavelength):
Radio waves > Microwaves > Infrared > Visible light > Ultraviolet > X-rays > Gamma rays

Visible light order (longest to shortest wavelength):
Red > Orange > Yellow > Green > Blue > Violet

#### a. red light or blue light
→ Red light has a longer wavelength than blue light.
✔ Red light

#### b. microwaves or radiowaves
→ Radio waves have longer wavelengths than microwaves.
✔ Radiowaves

#### c. infrared radiation or red light
→ Infrared has longer wavelengths than visible red light.
✔ Infrared radiation

#### d. gamma rays or UV radiation
→ UV has longer wavelengths than gamma rays.
✔ UV radiation

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2. In each of the following pairs, circle the form of radiation with the GREATER FREQUENCY:

Recall:
- Higher frequency = shorter wavelength = higher energy

#### a. yellow light or green light
→ Green light has higher frequency than yellow light (green is closer to blue end).
✔ Green light

#### b. x-rays or gamma rays
→ Gamma rays have higher frequency than x-rays.
✔ Gamma rays

#### c. UV radiation or violet light
→ UV radiation has higher frequency than violet light (violet is the highest frequency visible light).
✔ UV radiation

#### d. AM radio waves or FM radio waves
→ FM radio waves have higher frequency than AM radio waves.
✔ FM radio waves

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3. In each of the following pairs, circle the form of radiation with the LOWER ENERGY:

Energy ∝ Frequency → Lower frequency = lower energy

#### a. red light or blue light
→ Red light has lower frequency → lower energy
✔ Red light

#### b. microwaves or radiowaves
→ Radiowaves have lower frequency → lower energy
✔ Radiowaves

#### c. infrared radiation or red light
→ Infrared has lower frequency than red light → lower energy
✔ Infrared radiation

#### d. gamma rays or UV radiation
→ UV has lower frequency than gamma rays → lower energy
✔ UV radiation

#### e. yellow light or green light
→ Yellow has lower frequency than green → lower energy
✔ Yellow light

#### f. x-rays or gamma rays
→ X-rays have lower frequency than gamma rays → lower energy
✔ X-rays

#### g. UV radiation or violet light
→ Violet light is visible, UV is beyond violet → UV has higher frequency → so violet light has lower energy
✔ Violet light

#### h. AM radio waves or FM radio waves
→ AM has lower frequency than FM → lower energy
✔ AM radio waves

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4. Springfield’s “Classic Rock” radio station broadcasts at a frequency of 102.1 MHz. What is the length of the radio wave in meters?

Use the wave equation:
\[
c = \lambda \times f
\]
Where:
- \( c = 3.00 \times 10^8 \, \text{m/s} \) (speed of light)
- \( f = 102.1 \, \text{MHz} = 102.1 \times 10^6 \, \text{Hz} = 1.021 \times 10^8 \, \text{Hz} \)

Solve for \( \lambda \):
\[
\lambda = \frac{c}{f} = \frac{3.00 \times 10^8}{1.021 \times 10^8} \approx 2.938 \, \text{meters}
\]

✔ Answer: ≈ 2.94 meters

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5. A beam of light has a wavelength of 506 nanometers. What is the frequency of the light? What color is the light?

Given:
- \( \lambda = 506 \, \text{nm} = 506 \times 10^{-9} \, \text{m} = 5.06 \times 10^{-7} \, \text{m} \)

Use:
\[
f = \frac{c}{\lambda} = \frac{3.00 \times 10^8}{5.06 \times 10^{-7}} \approx 5.93 \times 10^{14} \, \text{Hz}
\]

✔ Frequency ≈ \( 5.93 \times 10^{14} \) Hz

Now, what color is 506 nm?
- Visible spectrum:
- 400–450 nm: violet
- 450–495 nm: blue
- 495–570 nm: green
- 570–590 nm: yellow
- 590–620 nm: orange
- 620–700 nm: red

506 nm falls in the blue-green range — specifically, cyan or turquoise, but commonly referred to as green-blue or blue depending on context.

But since it's just over 500 nm, it's slightly into the green, but still close to blue.
Most sources say 506 nm is green (since 500–570 nm is green).

✔ Color: Green

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6. Blue light has a frequency of \( 6.98 \times 10^{14} \) Hertz. Calculate the wavelength of blue light in nanometers.

Use:
\[
\lambda = \frac{c}{f} = \frac{3.00 \times 10^8}{6.98 \times 10^{14}} \approx 4.295 \times 10^{-7} \, \text{m}
\]

Convert to nanometers:
\( 1 \, \text{m} = 10^9 \, \text{nm} \), so:
\[
\lambda = 4.295 \times 10^{-7} \times 10^9 = 429.5 \, \text{nm}
\]

✔ Wavelength ≈ 429.5 nm

This is in the blue region of the spectrum (450–495 nm is blue; 429.5 is slightly violet-blue, but often considered blue).

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✔ Final Answers Summary:

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1. Longer Wavelength:
a. red light
b. radiowaves
c. infrared radiation
d. UV radiation

2. Greater Frequency:
a. green light
b. gamma rays
c. UV radiation
d. FM radio waves

3. Lower Energy:
a. red light
b. radiowaves
c. infrared radiation
d. UV radiation
e. yellow light
f. x-rays
g. violet light
h. AM radio waves

4. Radio wave length:
\[
\lambda = \frac{3.00 \times 10^8}{1.021 \times 10^8} \approx \boxed{2.94} \text{ meters}
\]

5. Frequency and color of 506 nm light:
- Frequency: \( \boxed{5.93 \times 10^{14}} \) Hz
- Color: \( \boxed{\text{Green}} \)

6. Wavelength of blue light:
\[
\lambda = \frac{3.00 \times 10^8}{6.98 \times 10^{14}} = \boxed{429.5} \text{ nm}
\]

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Let me know if you'd like this formatted as a printable answer sheet!