Problem: 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?

FREE Expert Solution

The velocity of the wave is equal to the velocity of light, c.

Frequency of a wave is expressed as:

f=cλ

The frequency of the wave of wavelength 1.410 cm is given by:

f1 = (3.0 × 108)/(1.410 × 10-2) = 2.1277 × 1010 Hz

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Problem Details

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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