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Intensity of sound at a point is ____ its distance from the source.
- a)directly proportional to
- b)inversely proportional to
- c)directly proportional to square of
- d)inversely proportional to square of
Correct answer is option 'D'. Can you explain this answer?
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Intensity of sound at a point is ____ its distance from the source.a)d...
Understanding Sound Intensity
The intensity of sound is a measure of the power per unit area carried by a sound wave. It decreases with increasing distance from the source due to the distribution of sound energy over a larger area.
Inverse Square Law
- Sound intensity follows the inverse square law, which states that the intensity is inversely proportional to the square of the distance from the source.
- Mathematically, this can be expressed as: I ∝ 1/d², where I is the intensity and d is the distance.
Why Inversely Proportional?
- As sound waves propagate from a point source, they spread out in all directions.
- The surface area of a sphere increases with the square of the radius (A = 4πr²). Therefore, as you move away from the source, the sound energy is distributed over a larger area.
- This results in a decrease in intensity because the same amount of sound energy is now spread over a larger surface.
Practical Implications
- For example, if you double the distance from a sound source, the intensity of the sound will become one-fourth (1/2²) of its original value.
- This principle is crucial in various fields, such as acoustics, audio engineering, and environmental sound management.
Conclusion
Understanding the relationship between sound intensity and distance is essential for managing sound in different environments and ensuring effective communication and sound quality. Thus, the correct answer to the question is that the intensity of sound at a point is inversely proportional to the square of its distance from the source.
The intensity of sound is a measure of the power per unit area carried by a sound wave. It decreases with increasing distance from the source due to the distribution of sound energy over a larger area.
Inverse Square Law
- Sound intensity follows the inverse square law, which states that the intensity is inversely proportional to the square of the distance from the source.
- Mathematically, this can be expressed as: I ∝ 1/d², where I is the intensity and d is the distance.
Why Inversely Proportional?
- As sound waves propagate from a point source, they spread out in all directions.
- The surface area of a sphere increases with the square of the radius (A = 4πr²). Therefore, as you move away from the source, the sound energy is distributed over a larger area.
- This results in a decrease in intensity because the same amount of sound energy is now spread over a larger surface.
Practical Implications
- For example, if you double the distance from a sound source, the intensity of the sound will become one-fourth (1/2²) of its original value.
- This principle is crucial in various fields, such as acoustics, audio engineering, and environmental sound management.
Conclusion
Understanding the relationship between sound intensity and distance is essential for managing sound in different environments and ensuring effective communication and sound quality. Thus, the correct answer to the question is that the intensity of sound at a point is inversely proportional to the square of its distance from the source.
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Intensity of sound at a point is ____ its distance from the source.a)directly proportional tob)inversely proportional toc)directly proportional to square ofd)inversely proportional to square ofCorrect answer is option 'D'. Can you explain this answer?
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