# 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:

$\overline{){\mathbf{f}}{\mathbf{=}}\frac{\mathbf{c}}{\mathbf{\lambda }}}$

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?