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Question

Which one of the following statements is not correct?

This question was previously asked in
NDA I 2016 GAT Previous Year Paper (17-Apr-2016)
The correct answer is

The loudness of sound is related to its frequency

Understanding Sound Characteristics

The question asks us to identify the statement that is not correct regarding the characteristics of sound. Let's examine each statement carefully.

Analyzing Each Statement

Statement 1: Pitch of a sound is its characteristic by which we can generally differentiate between a male voice and a female voice.

  • This statement is generally correct. Pitch is determined by the frequency of the sound wave. Female voices typically have higher fundamental frequencies than male voices, resulting in a higher pitch. This is a common way we perceive and differentiate between the two.

Statement 2: The loudness of sound is related to its frequency.

  • This statement is incorrect. Loudness is the characteristic of sound that depends on the amplitude of the sound wave, not its frequency. A larger amplitude corresponds to a more intense sound wave, which is perceived as louder. Frequency, on the other hand, determines the pitch of the sound. Higher frequency means higher pitch, and lower frequency means lower pitch.

Statement 3: A musical sound has a certain well-defined frequency which is generally harmonics of a fundamental frequency.

  • This statement is generally correct. Musical notes are typically produced by vibrations that create a fundamental frequency along with overtones (harmonics). These harmonics are integer multiples of the fundamental frequency, and their presence and relative intensities give musical sound its rich quality. Sounds with specific, stable frequencies are considered musical tones, unlike noise which often involves random frequencies.

Statement 4: The timbre of a particular musical sound is related to the waveform of the sound wave.

  • This statement is correct. Timbre, also known as tone quality or tone color, is what allows us to distinguish between different types of sound production, such as voices and musical instruments. It is determined by the complex mixture of harmonics (overtones) and their relative amplitudes that are present along with the fundamental frequency. This combination of frequencies and their intensities defines the overall shape, or waveform, of the sound wave. Sounds with the same pitch and loudness but different timbres have different waveforms.

Identifying the Incorrect Statement

Based on the analysis, the statement that is not correct is Statement 2, which claims that the loudness of sound is related to its frequency. Loudness is related to amplitude, while frequency is related to pitch.

Key Characteristics of Sound Waves

Let's summarize the relationship between the physical properties of sound waves and the perceived characteristics of sound:

Physical Property Perceived Characteristic Description
Frequency (\(\nu\)) Pitch How high or low the sound is perceived. Higher frequency means higher pitch. Measured in Hertz (Hz).
Amplitude (\(A\)) Loudness How intense or strong the sound is perceived. Larger amplitude means louder sound. Related to energy of the wave. Measured in Decibels (dB) based on intensity.
Waveform Timbre (Quality) Allows distinction between different sound sources even at the same pitch and loudness. Determined by the combination of fundamental frequency and overtones (harmonics) and their relative amplitudes.

Therefore, the statement relating loudness to frequency is incorrect.

Revision Table: Sound Properties

Characteristic Physical Property
Pitch Frequency
Loudness Amplitude/Intensity
Timbre Waveform (Harmonic content)

Additional Information on Sound Waves

  • Frequency (\(\nu\)): The number of complete oscillations or cycles per second. Unit is Hertz (Hz).
  • Amplitude (\(A\)): The maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position.
  • Wavelength (\(\lambda\)): The distance over which the wave's shape repeats.
  • Speed of sound (\(v\)): The speed at which sound waves propagate through a medium. It depends on the properties of the medium (e.g., temperature, density). The relationship between speed, frequency, and wavelength is \(v = \nu\lambda\).
  • Intensity: The power per unit area carried by a sound wave. Loudness is a subjective perception related to intensity. Intensity is proportional to the square of the amplitude (\(I \propto A^2\)). The decibel (dB) scale is used to measure sound intensity levels.
  • Harmonics: Frequencies that are positive integer multiples of the fundamental frequency. They are also called overtones. The combination of harmonics determines the timbre.
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Important Questions from Waves

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  5. In an elastic scattering process at an energy E, the phase shifts satisfy δ 0 ≈ 30°, δ 1≈  10°, while the other phase shifts are zero. The polar angle at which the differential cross-section peaks is closest to

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