Blank Electromagnetic Spectrum Worksheet - Fill Online, Printable ... - Free Printable

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 radiation 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).
✔ 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 radiation has lower frequency than gamma rays → lower energy
✔ UV radiation

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

#### h. AM radio waves or FM radio waves
→ AM radio waves have lower frequency → 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:
$$
c = \lambda \cdot f \quad \Rightarrow \quad \lambda = \frac{c}{f}
$$

Where:
- $ c = 3.00 \times 10^8 $ m/s (speed of light)
- $ f = 102.1 $ MHz = $ 102.1 \times 10^6 $ Hz = $ 1.021 \times 10^8 $ Hz

$$
\lambda = \frac{3.00 \times 10^8}{1.021 \times 10^8} \approx 2.938 \text{ meters}
$$

✔ 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 $ nm = $ 506 \times 10^{-9} $ m = $ 5.06 \times 10^{-7} $ m
- $ c = 3.00 \times 10^8 $ m/s

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

Now, what color is 506 nm?

- Visible light range: ~400–700 nm
- 506 nm is in the green-blue region → specifically cyan or blue-green, often called turquoise

✔ Frequency: $ 5.93 \times 10^{14} $ Hz
✔ Color: Green-blue (or cyan)

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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:
$$
\lambda = \frac{c}{f} = \frac{3.00 \times 10^8}{6.98 \times 10^{14}} \approx 4.297 \times 10^{-7} \text{ m}
$$

Convert to nanometers:
$$
4.297 \times 10^{-7} \text{ m} = 429.7 \text{ nm}
$$

✔ Wavelength: ≈ 430 nm

This is in the blue region of the visible spectrum.

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✔ Final Answers Summary:

#### 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. Wavelength of 102.1 MHz radio wave:
≈ 2.94 meters

#### 5. Wavelength = 506 nm:
- Frequency: $ 5.93 \times 10^{14} $ Hz
- Color: Green-blue / Cyan

#### 6. Frequency = $ 6.98 \times 10^{14} $ Hz:
- Wavelength: ≈ 430 nm

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