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?

Answer 1

The wavelength of the wave is 1.419 cm.

Step-by-step 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=(c)/(\lambda )\\\\f =(3* 10^8)/(0.0141)\\\\f = 2.13* 10^(10) Hz`

Let the frequency of the other wave is f'.

`f' = 2.13* 10^(10)-170*10^6\\\\f' = 21130* 10^6 Hz`

The wavelength is given by

`f' = 21130* 10^6 Hz\\\lambda = (3* 10^8)/(21130* 10^6)\\\\\lambda = 0.01419 m = 1.419 cm`