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):
Radio waves
Microwaves
Infrared
Visible light (\$\$700\,nm\$\$ to \$\$400\,nm\$\$)
Ultraviolet
X-rays
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 (): The distance between two consecutive compressions or rarefactions.
Amplitude (): The maximum magnitude of pressure variation from undisturbed pressure.
Period (): The time taken in seconds for one complete cycle.
Frequency (): The number of complete cycles per second, measured in Hertz ().
Inverse Relationship: .
Pitch: High-pitched sounds have high frequency; low-pitched sounds have low frequency.
Wave Equation:
Example Calculation: if sound travels in :
Properties of Light
Speed: Light travels much faster than sound at approximately . At this speed, it can circle the Earth 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.