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Revision: Sound Physics HSC Science (General) 11th Standard Maharashtra State Board

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Definitions [31]

Definition: Infrasonic

The sound of frequency below 20 Hz is called infrasonic.

Define time period.

The time period of a particle executing S.H.M. is the time taken to complete one cycle and is denoted by T.

Define wavelength.

The linear distance between the two consecutive particles of a vibrating medium in the same phase is called its wavelength. It is denoted by the Greek letter lambda (λ).

Definition: Frequency of the Wave

The number of vibrations made by the particle of the medium in one second, is called the frequency (j) of the wave.

Definition: Wave

A pattern which moves through material medium by repeated vibration of the particles of the medium about their mean position without the actual movement of matter is called a wave.

Definition: Wave Velocity

The distance travelled by the wave in one second is called the wave velocity (V).

Definition: Wavelength

The distance travelled by a wave in one time period of vibration of the particle of the medium, is called the wavelength (λ).

Definition: Time Period of the Wave

The time taken by the particle of the medium to complete its one vibration, is called the time period (T) of the wave.

Definition: Audible Range of Frequency

Our ears are sensitive only to a limited range of frequencies from 20 Hz to 20,000 Hz, which is called the audible range of frequency.

Definition: Ultrasonic

The sound of frequency above 20,000 Hz is called ultrasonic.

Definition: Amplitude of the Wave

When a sound wave travels in a medium, the maximum displacement of the particle of the medium on either side of its mean position, is called the amplitude (a) of the wave.

Define the term wavelength applied to a sound wave.

The wavelength of a sound wave is the spatial distance over which the wave's shape repeats. Because sound is a longitudinal wave, it is specifically defined as the distance between two consecutive points in the same phase of vibration.

Define sound ranging.

The process by which bats and dolphins detect the presence of an obstacle by hearing the echo of the sound produced by them is called sound ranging. 

Definition: Period

The time required to complete one vibration by a particle, i.e., the time taken by a particle of a medium to complete one vibration, is called period.

Answer briefly.

Define wavelength of a wave.

Wavelength (λ): The distance between two successive particles which are in the same state of vibration is called the wavelength of the wave. SI unit is (m).

Answer briefly.

Define amplitude.

Amplitude (A): The largest displacement of a particle of a medium through which the wave is propagating, from its rest position, is called the amplitude of that wave. SI unit is (m).

Definition: Amplitude

The magnitude of maximum displacement of the constituent particle of the medium from their equilibrium position, i.e., the largest displacement of a particle of a medium through which the wave is propagating from its rest position, is called amplitude.

Define progressive wave.

Waves in which a disturbance created at one place travels to distant points and keeps travelling unless stopped by an external force are known as travelling or progressive waves.

Definition: Velocity

The distance covered by a wave per unit time is called velocity.

Definition: Phase

The state of oscillation of a particle is called its phase.

Definition: Frequency

The number of vibrations performed by a particle per unit time is called frequency.

Definition: Wavelength

The minimum distance between two points having the same phase, or the distance between two consecutive crests or troughs in a wave, is called wavelength.

OR

The distance between two successive particles which are in the same state of vibration is called wavelength.

Definition: Transverse Wave

A wave in which particles of the medium vibrate in a direction perpendicular to the direction of propagation of the wave is called a transverse wave.

Definition: Longitudinal Wave

A wave in which particles of the medium vibrate in a direction parallel to the direction of propagation of the wave is called a longitudinal wave.

Definition: Argument of a Wave / Phase

The expression (kx − ωt + ϕ) which represents the position x and time t dependent term in the wave equation is called the argument of the wave and phase of the particle at x at time t.

Definition: Interference of Waves

When two waves of the same frequency, wavelength and velocity move in the same direction, on superposition, they result in interference.

Definition: Echo

The sound heard after reflection from a distant obstacle (such as a cliff, a hillside, wall of a building, edge of a forest, etc.) after the original sound has ceased, is called an echo.

Definition: Pitch

The characteristic of sound that refers to the sharpness or shrillness of sound, determined by the frequency of the sound wave, is called pitch.

Definition: Timbre

The unique quality that distinguishes one sound from another even if they have the same pitch and loudness is called timbre.

Definition: Doppler Effect

The apparent change in frequency of sound heard by a listener due to relative motion between the source and the listener is called the Doppler effect.

Answer briefly.

What is Doppler effect?

The apparent change in the frequency of sound heard by a listener, due to relative motion between the source of sound and the listener is called Doppler effect in sound.

When the source and the observer are in relative motion with respect to each other and to the medium in which sound propagates, the frequency of the sound wave observed is different from the frequency of the source. This phenomenon is called Doppler Effect.

Formulae [1]

Formula: Mathematical Expression of a Wave

A wave travelling along the positive X-axis is expressed as:

\[y(x,t)=a\sin(kx-\omega t+\phi)\]

Theorems and Laws [1]

Law: Principle of Superposition of Waves

When two or more pulses overlap, the resultant displacement is the algebraic sum of the displacements due to each pulse.

Key Points

Key Points: Common Properties of All Waves
  • Double Periodicity: A wave is periodic in both time and space.
  • Phase indicates the position of a particle in its oscillation cycle.
  • Frequency is measured in vibrations per second (Hz).
  • Wavelength can also be understood as the distance between two successive particles in the same state of vibration.
  • Amplitude is always measured from the rest (equilibrium) position of the particle.
Key Points: Transverse vs Longitudinal Waves
Feature Transverse Waves Longitudinal Waves
Particle vibration Perpendicular to direction of propagation Parallel to direction of propagation
Example String waves Sound waves
Medium of travel Solids and surfaces of liquids only Solids, liquids, and gases
Key Points: The Speed of Travelling Waves
  • Speed of sound is highest in solids, lower in liquids, and lowest in gases — it depends on the elastic properties and density of the medium.
  • Pressure has no effect on speed of sound if temperature remains constant.
  • Speed of sound increases with temperature: v∝Tv∝T​.
  • Speed of sound increases with humidity; frequency of sound remains unchanged when it travels from one medium to another.
  • A sound-transmitting medium must have inertia, uniform density, elasticity, and less friction.
Ky Points: Principle of Superposition of Waves
Feature Constructive Interference Destructive Interference
Phase Difference (φ) \[0,2\pi,4\pi,\ldots\] \[\pi,3\pi,5\pi,\ldots\]
Path Difference \[n\lambda\] \[(2n+1)\frac{\lambda}{2}\]
Nature Waves reinforce Waves cancel
Amplitude Maximum Minimum
Intensity Maximum (bright) Minimum (dark)
Result Crest + Crest Crest + Trough
Key Points: Qualities of Sound
  • For hearing a distinct echo, the reflecting surface must be at a minimum distance of 17.2 m.
  • Higher frequency = Higher pitch; Lower frequency = Lower pitch.
  • Greater amplitude = Louder sound; Lower amplitude = Softer sound. Loudness is measured in decibels (dB).
  • Loudness of 20 dB is felt double that of 10 dB, but its intensity is 10 times that of 10 dB sound.
Key Points: Doppler Effect
  • Doppler effect is the apparent change in frequency of sound due to relative motion between the source and listener.
  • If the velocity of the source and observer are not along the same line, their respective components along the line joining them must be used for the longitudinal Doppler effect.
  • As the speed of light is absolute, for light waves only the relative velocity between the observer and source matters.
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