Electromagnetic Spectrum

  • Electromagnetic Spectrum: Grouping of radiate energies, including:

    • Radio waves

    • Microwaves

    • Infrared

    • Visible light

    • Ultraviolet

    • X-rays

    • Gamma rays

  • Electromagnetic Radiation: Defined as energy disturbances traveling at the speed of light (3.0 x 10^8 m/s).

    • Consists of electric and magnetic fields.

    • Emitted by atoms during changes in electron orbits.

  • Mechanical Energy Analogy:

    • Dropping a pebble creates waves in water (kinetic energy).

    • Sound waves created by drum vibrations transfer energy through air molecules.

  • Nature of Electromagnetic Radiation:

    • Vibration of an electromagnetic field.

    • Does not need a medium to travel.

  • Wave Characteristics:

    1. Speed (constant for all EM radiation)

    2. Amplitude (height of a wave, larger means stronger)

    3. Wavelength (distance from peak to peak)

    4. Frequency (number of waves per second)

  • Wavelength and Frequency Relationship:

    • Inverse relationship: longer wavelength = lower frequency, shorter wavelength = higher frequency.

    • Frequency expressed in Hertz (Hz).

  • Wave Formula: c = fλ (where c is speed of light, f is frequency, λ is wavelength).

    • Examples: 1) [ f = \frac{c}{\lambda} ] 2) [ \lambda = \frac{c}{f} ]

  • Summation of Electromagnetic Spectrum:

    • Continuous range of wavelengths and frequencies.

    • Different forms of EM energy (light, radio waves, X-rays) merge seamlessly.

  • Review Questions:

    1. Highest frequency = shortest wavelength.

    2. Distance between wave peaks = wavelength.

    3. Lowest energy (from microwaves, visible light, infrared, gamma rays) = microwaves.

    4. Speed refers to wave velocity.

    5. All EM radiation is an electric and magnetic disturbance at speed of light.

    6. The electromagnetic field vibrates in EM radiation, not the medium.

    7. Example problem: Frequency for wavelength of 3 x 10^12 m = [ f = \frac{3 x 10^8 m/s}{3 x 10^{12} m} = 1 x 10^{-4} s ]