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The sound level at a distance of 3.00 m ...

The sound level at a distance of 3.00 m from a source is 120 dB. At what distance will the sound level be (a) 100 dB and (b) 10.0 dB?

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To solve the problem of finding the distances at which the sound levels are 100 dB and 10 dB, we will use the relationship between sound intensity and distance, as well as the decibel scale. ### Step-by-Step Solution: 1. **Understanding the Decibel Scale**: The sound level in decibels (dB) is given by the formula: \[ L = 10 \log_{10} \left( \frac{I}{I_0} \right) ...
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Knowledge Check

  • At a distance of 5.0 m from a point sound source, the sound intensity level is 110 dB. At what distance is the intensity level 95 dB?

    A
    5.0 m
    B
    14 m
    C
    7.1 m
    D
    28 m

  • The sound intensity level at a point 4 m from the point source is 10dB , then the sound level at a distance 2 m from the same source will be

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    26 dB
    B
    16dB
    C
    23dB
    D
    32dB

  • The sound level at a point P is 14 dB below the sound level at a point 1.0 m from a point source. The distance from the source to point P is

    A
    4.0 m
    B
    20.2 m
    C
    2.0 m
    D
    5.0 m

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