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Which one of the following is the correct sound intensity expression with usual notations?
- a)dB = 10 log10(I/I0)2
- b)dB = 10 log10(I/I0)
- c)dB = 10 log10(I - I0)2
- d)dB = 10 log10(I - I0)
Correct answer is option 'A'. Can you explain this answer?
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Which one of the following is the correct sound intensity expression w...
Sound Intensity Expression
The correct sound intensity expression with usual notations is given by:
a) dB = 10 log10(I/I0)2
Explanation
- The unit of sound intensity is watts per square meter (W/m²).
- The threshold of hearing, I0, is the minimum sound intensity that can be detected by the human ear, which is approximately 1 x 10^-12 W/m².
- The sound intensity level (SIL) is measured in decibels (dB), which is a logarithmic scale that compares the sound intensity of a given sound to the threshold of hearing.
- The formula for SIL is given by:
SIL = 10 log10(I/I0)
- However, since SIL can be negative, it is common to use the formula:
SIL = 20 log10(I/I0)
- This formula is equivalent to the first formula, but it doubles the value of the logarithm to ensure that SIL is always a positive value.
- Therefore, the correct sound intensity expression with usual notations is:
dB = 10 log10(I/I0)2
- This formula is equivalent to:
dB = 20 log10(I/I0)
- Both formulas are commonly used in practice.
Conclusion
The correct sound intensity expression with usual notations is dB = 10 log10(I/I0)2, which is equivalent to dB = 20 log10(I/I0). This formula is used to measure the sound intensity level (SIL) in decibels (dB) by comparing the sound intensity of a given sound to the threshold of hearing (I0).
The correct sound intensity expression with usual notations is given by:
a) dB = 10 log10(I/I0)2
Explanation
- The unit of sound intensity is watts per square meter (W/m²).
- The threshold of hearing, I0, is the minimum sound intensity that can be detected by the human ear, which is approximately 1 x 10^-12 W/m².
- The sound intensity level (SIL) is measured in decibels (dB), which is a logarithmic scale that compares the sound intensity of a given sound to the threshold of hearing.
- The formula for SIL is given by:
SIL = 10 log10(I/I0)
- However, since SIL can be negative, it is common to use the formula:
SIL = 20 log10(I/I0)
- This formula is equivalent to the first formula, but it doubles the value of the logarithm to ensure that SIL is always a positive value.
- Therefore, the correct sound intensity expression with usual notations is:
dB = 10 log10(I/I0)2
- This formula is equivalent to:
dB = 20 log10(I/I0)
- Both formulas are commonly used in practice.
Conclusion
The correct sound intensity expression with usual notations is dB = 10 log10(I/I0)2, which is equivalent to dB = 20 log10(I/I0). This formula is used to measure the sound intensity level (SIL) in decibels (dB) by comparing the sound intensity of a given sound to the threshold of hearing (I0).
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Which one of the following is the correct sound intensity expression with usual notations?a)dB = 10 log10(I/I0)2b)dB = 10 log10(I/I0)c)dB = 10 log10(I- I0)2d)dB = 10 log10(I- I0)Correct answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Which one of the following is the correct sound intensity expression with usual notations?a)dB = 10 log10(I/I0)2b)dB = 10 log10(I/I0)c)dB = 10 log10(I- I0)2d)dB = 10 log10(I- I0)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one of the following is the correct sound intensity expression with usual notations?a)dB = 10 log10(I/I0)2b)dB = 10 log10(I/I0)c)dB = 10 log10(I- I0)2d)dB = 10 log10(I- I0)Correct answer is option 'A'. Can you explain this answer?.
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