Two microwave signals of nearly equal wavelengths can generate a beat frequency if both are directed onto the same microwave detector. In an

Question

Two microwave signals of nearly equal wavelengths can generate a beat frequency if both are directed onto the same microwave detector. In an experiment, the beat frequency is 170MHz . One microwave generator is set to emit microwaves with a wavelength of 1.410cm.
If the second generator emits the longer wavelength, what is that wavelength?

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Mộc Miên 4 years 2021-07-20T17:36:11+00:00 1 Answers 399 views 0

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  1. Eirian
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    2021-07-20T17:37:45+00:00
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    Answer:

    The wavelength of the wave is 1.419 cm.

    Explanation:

    wavelength emitted by the one micro wave = 1.41 cm

    beat frequency =  170 M Hz

    Let the frequency of the wave is f.

    f=\frac{c}{\lambda }\\\\f =\frac{3\times 10^8}{0.0141}\\\\f = 2.13\times 10^{10} Hz

    Let the frequency of the other wave  is f’.

    f' = 2.13\times 10^{10}-170\times10^6\\\\f' = 21130\times 10^6 Hz

    The wavelength is given by

    f' = 21130\times 10^6 Hz\\\lambda = \frac{3\times 10^8}{21130\times 10^6}\\\\\lambda = 0.01419 m = 1.419 cm

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