Single correct option
A small isotropic sound source produces an intensity level of at a distance of in free space. Identical, incoherent sources of this kind are switched on together at the same spot. The number of sources needed so that the intensity level at a distance of is is
- A.
- B.
- C.
- D.
Show answer and solution
Answer: (A)
For an isotropic source, . Going from to reduces the intensity of one source by a factor of , i.e. its level falls by (to about ). Intensities of incoherent sources add, so sources give times the intensity, raising the level by . To restore we need . The value results from taking , and from using the loss as with rounding.
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