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A blast gives a sound of intensity 0.8 watt per metre square and frequency of 1 kilohertz if the density of air is 1.3 kg per metre cube and the speed of sound in air is 330 M per the amplitude of the sound wave is
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A blast gives a sound of intensity 0.8 watt per metre square and frequ...
Intensity of the Blast:
The intensity of a sound wave is the amount of energy it carries per unit area. In this case, the blast has an intensity of 0.8 watt per square meter. This means that every square meter in the vicinity of the blast receives 0.8 joules of energy per second.
Frequency of the Blast:
The frequency of a sound wave refers to the number of cycles or vibrations it completes in one second. The blast has a frequency of 1 kilohertz, which means it completes 1000 cycles per second.
Density of Air:
The density of a substance refers to its mass per unit volume. In this case, the density of air is given as 1.3 kilograms per cubic meter. This means that every cubic meter of air has a mass of 1.3 kilograms.
Speed of Sound in Air:
The speed of sound refers to how fast sound waves travel through a medium. In this case, the speed of sound in air is given as 330 meters per second. This means that sound waves propagate through air at a speed of 330 meters per second.
Amplitude of the Sound Wave:
The amplitude of a sound wave refers to the maximum displacement of particles in the medium from their equilibrium position. It is a measure of the strength or intensity of the sound wave. The amplitude of the given sound wave is not explicitly mentioned in the given information.
Explanation:
To calculate the amplitude of the sound wave, we need to use the formula:
Amplitude = √(2 × Intensity / (Density × Speed of Sound × Frequency))
Using the given values, we can substitute them into the formula:
Amplitude = √(2 × 0.8 / (1.3 × 330 × 1000))
Simplifying the equation:
Amplitude ≈ √(0.00122 / 429)
Amplitude ≈ √2.85 × 10^(-6)
Amplitude ≈ 0.001688
Therefore, the approximate amplitude of the sound wave is 0.001688.
Summary:
In summary, given the intensity of the blast, the frequency of the sound wave, the density of air, and the speed of sound in air, we can calculate the approximate amplitude of the sound wave using the formula. The amplitude represents the maximum displacement of particles in the medium and gives us an understanding of the strength or intensity of the sound wave.
The intensity of a sound wave is the amount of energy it carries per unit area. In this case, the blast has an intensity of 0.8 watt per square meter. This means that every square meter in the vicinity of the blast receives 0.8 joules of energy per second.
Frequency of the Blast:
The frequency of a sound wave refers to the number of cycles or vibrations it completes in one second. The blast has a frequency of 1 kilohertz, which means it completes 1000 cycles per second.
Density of Air:
The density of a substance refers to its mass per unit volume. In this case, the density of air is given as 1.3 kilograms per cubic meter. This means that every cubic meter of air has a mass of 1.3 kilograms.
Speed of Sound in Air:
The speed of sound refers to how fast sound waves travel through a medium. In this case, the speed of sound in air is given as 330 meters per second. This means that sound waves propagate through air at a speed of 330 meters per second.
Amplitude of the Sound Wave:
The amplitude of a sound wave refers to the maximum displacement of particles in the medium from their equilibrium position. It is a measure of the strength or intensity of the sound wave. The amplitude of the given sound wave is not explicitly mentioned in the given information.
Explanation:
To calculate the amplitude of the sound wave, we need to use the formula:
Amplitude = √(2 × Intensity / (Density × Speed of Sound × Frequency))
Using the given values, we can substitute them into the formula:
Amplitude = √(2 × 0.8 / (1.3 × 330 × 1000))
Simplifying the equation:
Amplitude ≈ √(0.00122 / 429)
Amplitude ≈ √2.85 × 10^(-6)
Amplitude ≈ 0.001688
Therefore, the approximate amplitude of the sound wave is 0.001688.
Summary:
In summary, given the intensity of the blast, the frequency of the sound wave, the density of air, and the speed of sound in air, we can calculate the approximate amplitude of the sound wave using the formula. The amplitude represents the maximum displacement of particles in the medium and gives us an understanding of the strength or intensity of the sound wave.
Community Answer
A blast gives a sound of intensity 0.8 watt per metre square and frequ...
I =1.2 × 10 to the power -5
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A blast gives a sound of intensity 0.8 watt per metre square and frequency of 1 kilohertz if the density of air is 1.3 kg per metre cube and the speed of sound in air is 330 M per the amplitude of the sound wave is
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