Sound and Light Wave Properties

Nature of Sound and Mechanical Waves

  • Mechanical Wave: A disturbance of a medium that transfers energy from one location to another without net movement of matter.

  • Longitudinal Waves: Particles move parallel to the wave's motion (e.g., sound waves). These consist of:

    • Compressions: Sections where particles are closer together than average.

    • Rarefactions: Sections where particles are further apart than average.

  • Transverse Waves: Particles move perpendicular to the wave's motion (e.g., light waves, ripples in a pond).

  • Sound Transmission: Sound is a form of energy made by vibrations. It travels fastest through solids where molecules are closer together and cannot travel through empty space (vacuum).

Wave Properties and Mathematical Relationship

  • Wavelength (\$\$\lambda\$\$): The distance between two consecutive compressions or rarefactions.

  • Amplitude (\$\$A\$\$): The maximum magnitude of pressure variation from undisturbed pressure.

  • Period (\$\$T\$\$): The time taken in seconds for one complete cycle.

  • Frequency (\$\$f\$\$): The number of complete cycles per second, measured in Hertz (\$\$Hz\$\$).

  • Inverse Relationship: \$\$f = \frac{1}{T}\$\$.

  • Pitch: High-pitched sounds have high frequency; low-pitched sounds have low frequency.

  • Wave Equation:

    • \$\$v = f \times \lambda\$\$

    • \$\$v = \text{wave speed (m/s)}\$\$

    • \$\$f = \text{frequency (Hz)}\$\$

    • \$\$\lambda = \text{wavelength (m)}\$\$

  • Example Calculation: if sound travels \$\$119\,m\$\$ in \$\$0.35375\,s\$\$:

    • \$\$v = \frac{\text{distance}}{\text{time}} = \frac{119\,m}{0.35375\,s} = 336\,m/s\$\$

Properties of Light

  • Speed: Light travels much faster than sound at approximately \$\$300,000\,km/s\$\$. At this speed, it can circle the Earth \$\$7.5\$\$ times in one second.

  • Propagation: Light travels in straight lines. Shadows are formed when light is blocked by an object.

  • Objects and Materials:

    • Luminous: Objects that produce light (e.g., the Sun, fire, light bulbs).

    • Non-luminous (Reflectors): Objects that reflect light (e.g., mirrors, water).

    • Transmission: Materials are classified as transparent, translucent, or opaque based on how light travels through them.

  • Rays and Beams: A single light ray shows the path of light; a stream of rays is called a beam.

The Electromagnetic Spectrum

  • Electromagnetic (EM) Waves: Pulses of electrical and magnetic energy that propagate through a vacuum at the speed of light.

  • Order (Increasing Frequency and Energy / Decreasing Wavelength):

    1. Radio waves

    2. Microwaves

    3. Infrared

    4. Visible light (\$\$700\,nm\$\$ to \$\$400\,nm\$\$)

    5. Ultraviolet

    6. X-rays

    7. Gamma rays

Reflection, Refraction, and Color

  • Law of Reflection: The angle of incidence equals the angle of reflection.

  • Mirror Types:

    • Concave: Bulging inwards; a converging mirror.

    • Convex: Bulging outwards; a diverging mirror.

  • Reflection Quality:

    • Clear: Light reflects from smooth, shiny surfaces.

    • Diffuse: Light is scattered in different directions by rough, dull surfaces.

  • Refraction: The bending of light as it moves between transparent substances of different speeds.

  • Color Addition (Primary colors of light: Red, Blue, Green):

    • \$\$\text{Red} + \text{Blue} + \text{Green} = \text{White}\$\$

    • \$\$\text{Red} + \text{Green} = \text{Yellow}\$\$

    • \$\$\text{Blue} + \text{Green} = \text{Cyan}\$\$

  • Mechanical Wave: A disturbance of a medium that transfers energy from one location to another without net movement of matter.

  • Longitudinal Waves: Particles move parallel to the wave's motion (e.g., sound waves). These consist of:

    • Compressions: Sections where particles are closer together than average.

    • Rarefactions: Sections where particles are further apart than average.

  • Transverse Waves: Particles move perpendicular to the wave's motion (e.g., light waves, ripples in a pond).

  • Sound Transmission: Sound is a form of energy made by vibrations. It travels fastest through solids where molecules are closer together and cannot travel through empty space (vacuum).

Wave Properties and Mathematical Relationship

  • Wavelength (λ\lambda): The distance between two consecutive compressions or rarefactions.

  • Amplitude (AA): The maximum magnitude of pressure variation from undisturbed pressure.

  • Period (TT): The time taken in seconds for one complete cycle.

  • Frequency (ff): The number of complete cycles per second, measured in Hertz (HzHz).

  • Inverse Relationship: f=1Tf = \frac{1}{T}.

  • Pitch: High-pitched sounds have high frequency; low-pitched sounds have low frequency.

  • Wave Equation:

    • v=f×λv = f \times \lambda

    • v=wave speed (m/s)v = \text{wave speed (m/s)}

    • f=frequency (Hz)f = \text{frequency (Hz)}

    • λ=wavelength (m)\lambda = \text{wavelength (m)}

  • Example Calculation: if sound travels 119m119\,m in 0.35375s0.35375\,s:

    • v=distancetime=119m0.35375s=336m/sv = \frac{\text{distance}}{\text{time}} = \frac{119\,m}{0.35375\,s} = 336\,m/s

Properties of Light

  • Speed: Light travels much faster than sound at approximately 300,000km/s300,000\,km/s. At this speed, it can circle the Earth 7.57.5 times in one second.

  • Propagation: Light travels in straight lines. Shadows are formed when light is blocked by an object.

  • Objects and Materials:

    • Luminous: Objects that produce light (e.g., the Sun, fire, light bulbs).

    • Non-luminous (Reflectors): Objects that reflect light (e.g., mirrors, water).

    • Transmission: Materials are classified as transparent, translucent, or opaque based on how light travels through them.

    • Rays and Beams: A single light ray shows the path of light; a stream of rays is called a beam.