Know that all electromagnetic waves travel at the same high speed in a vacuum

3.3 Electromagnetic Spectrum

Key Concept: Speed of All EM Waves

In a vacuum, every electromagnetic wave—whether it’s a radio wave, light, or X‑ray—travels at the same speed, called the speed of light, denoted by \$c\$:

\$c \approx 3.0 \times 10^8 \,\text{m/s}\$

⚡️ Think of it like a super‑fast roller coaster that never slows down, no matter how steep the track. The track (frequency or wavelength) changes, but the coaster’s speed stays constant.

Because the speed is constant, the relationship between frequency \$f\$ and wavelength \$\lambda\$ is:

\$c = f \lambda\$

📡 If you double the frequency, the wavelength halves, but the product (speed) remains the same.

Exam Tip: When asked to calculate wavelength or frequency, remember to use the equation \$c = f \lambda\$ and that \$c = 3.0 \times 10^8 \,\text{m/s}\$ in a vacuum. Always check units—meters for wavelength, hertz for frequency.

The Electromagnetic Spectrum (Colourful Overview)

TypeWavelength (m)Frequency (Hz)Typical Example
Radio Waves> 1 mm< 3 × 10^11📻 AM/FM radio
Microwaves1 mm – 1 m3 × 10^11 – 3 × 10^10🍲 Microwave oven
Infrared700 nm – 1 mm4 × 10^14 – 3 × 10^11🌞 Sunlight warmth
Visible Light400 nm – 700 nm4 × 10^14 – 7 × 10^14👀 Human vision
Ultraviolet10 nm – 400 nm3 × 10^16 – 4 × 10^14☀️ Sunburn risk
X‑Rays0.01 nm – 10 nm3 × 10^19 – 3 × 10^16🩻 Medical imaging
Gamma Rays< 0.01 nm> 3 × 10^19☢️ Nuclear reactions

Exam Tip: When you see a question about wavelength or frequency, remember:

  1. Use \$c = f \lambda\$ with \$c = 3.0 \times 10^8\$ m/s.
  2. Check the units: meters for wavelength, hertz for frequency.
  3. Convert between units (e.g., nm to m) before plugging into the formula.