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#sound wave

3 public questions tagged with this topic.

Doppler Effect

Which wave property is most affected when a sound wave encounters a change in the medium’s temperature?

**Doppler effect** describes apparent frequency shift due to relative motion between source and observer, f' = f·v/(v ∓ v_s) for source motion, f' = f·(v ± v_o)/v for observer motion, upper signs for approach increasing observed frequency. Motion towards observer compresses wavelength raising f'. Speed of sound in a gas increases with temperature ( v ∝ √(T) ), significantly altering its propagation, while frequency remains source-dependent and amplitude may vary less directly. Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields Speed, illustrating

Ref: NCERT > Physics Book > Waves > Doppler Effect

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Wave Speed, Energy and Power

Which property of a sound wave is most directly responsible for its loudness?

**Transverse wave velocity** depends on medium not frequency alone. For string under tension, v ∝ √(T/μ), calculation requires μ from mass and length, then square root evaluation, giving v in m/s, then f = v/λ for given wavelength. Loudness is primarily determined by the amplitude of a sound wave, as it relates to the energy carried and perceived intensity, while frequency affects pitch. Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields Amplitude, illustrating frequency-length-speed interdependence and quantization by boundaries.

Ref: NCERT > Physics Book > Waves > Wave Speed, Energy and Power

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Wave Equation and Displacement Relation

Which factor primarily determines the pitch of a sound wave as perceived by a listener?

**Wave equation** y(x,t) = A sin(kx - ωt + φ) describes displacement of progressive harmonic wave, where k = 2π/λ wave number (rad/m), ω = 2πf angular frequency (rad/s), v = ω/k wave speed (m/s). Sign of ωt indicates direction, amplitude A is maximum displacement. Pitch is the auditory perception of frequency. Higher frequency corresponds to higher pitch, while amplitude affects loudness and wavelength relates to speed and frequency. Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields Frequency, illustrating frequency-length-speed interdependence

Ref: NCERT > Physics Book > Waves > Wave Equation and Displacement Relation

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