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A phased array is being used that emits a frequency of 7 MHz from each transduce

ID: 1559771 • Letter: A

Question

A phased array is being used that emits a frequency of 7 MHz from each transducer in the array. One of the transducers emits a pulse that is 5 wavelengths long. The next consecutive transducer must emit so that constructive interference occurs with the previously emitted signal. What is the longest time that can pass before the next transducer must emit? Assume the wavefronts from each transducer are parallel to each other.  

Hint: Find time needed to travel one wavelength. That's the period of the wave. The next transducer must emit before (5 -1) wavelengths pass

Explanation / Answer

period of the wave,

T = 1 / f

T = 1 / 7*10^6 s

longest time that can pass before the next transduced must emit is,

t = (5 - 1) /  7*10^6

t = 5.71*10^(-7) s

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