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Sound - Audible and Inaudible Sounds

Grade 8CBSE

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

Vibration is the back-and-forth motion of an object. The number of oscillations per second is called the frequency (ff), measured in Hertz (Hz)\text{Hertz (Hz)}.

Audible sounds are those that can be heard by the human ear. This range is typically between 20 Hz20\text{ Hz} and 20,000 Hz20,000\text{ Hz} (20 kHz20\text{ kHz}).

Inaudible sounds fall outside the range of 20 Hz20,000 Hz20\text{ Hz} - 20,000\text{ Hz}.

Infrasonic sounds (Infrasound) have frequencies lower than 20 Hz20\text{ Hz}. These are produced by objects like pendulums or animals like whales and elephants.

Ultrasonic sounds (Ultrasound) have frequencies higher than 20,000 Hz20,000\text{ Hz}. Animals like dogs, bats, and dolphins can hear these frequencies.

The loudness of sound is determined by its amplitude (AA). Loudness is proportional to the square of the amplitude: LoudnessA2Loudness \propto A^2.

The pitch or shrillness of a sound is determined by its frequency (ff). A higher frequency result in a higher pitch.

📐Formulae

f=Number of oscillationsTime taken (s)f = \frac{\text{Number of oscillations}}{\text{Time taken (s)}}

T=1fT = \frac{1}{f}

Loudness(Amplitude)2Loudness \propto (\text{Amplitude})^2

💡Examples

Problem 1:

An object oscillates 6060 times in 33 seconds. Calculate its frequency and determine if the sound produced is audible to humans.

Solution:

Frequency f=603=20 Hzf = \frac{60}{3} = 20\text{ Hz}.

Explanation:

The calculated frequency is 20 Hz20\text{ Hz}. Since the human audible range starts at 20 Hz20\text{ Hz}, this sound is at the threshold of audibility and can be heard.

Problem 2:

If the amplitude of a sound vibration is doubled, by how much does the loudness increase?

Solution:

Loudness(2)2=4Loudness \propto (2)^2 = 4.

Explanation:

Since loudness is proportional to the square of the amplitude (LoudnessA2Loudness \propto A^2), doubling the amplitude (2A2A) results in the loudness increasing by a factor of 44.

Problem 3:

A bat emits a sound with a frequency of 100,000 Hz100,000\text{ Hz}. Is this sound audible, infrasonic, or ultrasonic?

Solution:

100,000 Hz>20,000 Hz100,000\text{ Hz} > 20,000\text{ Hz}.

Explanation:

Because the frequency is much higher than the upper limit of human hearing (20,000 Hz20,000\text{ Hz}), the sound is classified as ultrasonic (ultrasound).