Two in-phase sources of waves are separated by a distance of3.78 m. These source

Question

Two in-phase sources of waves are separated by a distance of3.78 m. These sources produce identical waves that have awavelength of 5.64 m. On the line between them, there are twoplaces at which the same type of interference occurs.(a) Is it: 1 - constructive interference or 2 -destructive interference? Give the number of the correct answer,with no units. (b) and (c) Whereare these places located (the smaller distance should be the answerto (b))?

(a) Number 2 Units No units (b) Number Units m (c) Number Units m

Explanation / Answer

It will be destructive, so the first answer is "2" . The path difference from the two sources will be half awavelength, or 5.64 / 2 =   2.82 m . So weknow:           y- x = 2.82        and      y + x = 3.78 . Subtract the equationsand        2x =0.96          x = 0.48      (this is answer to b!!) . Add equationsand                 2y =6.60            y = 3.30    (this is answer to c!!)

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