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Microwaves pass through a small hole into the 鈥渕icrowave cavity鈥 of FIGURE EX17.13. What frequencies between 10 GHz and 20 GHz will create standing waves in the cavity?

Short Answer

Expert verified
m
fmGHz
710.5
812.0
913.5
1015.0
1116.5
1218.0
1319.5

Step by step solution

01

Given information

The length of the microwave cavity is L=10cm=0.10m

02

Frequencies of the standing waves

There are reflectors at both ends, so the electromagnetic standing wave acts like the standing wave on a string that is tied at both ends.

The electromagnetic waves of all frequencies travel at the speed of light c.

The frequencies of the standing waves are given by

fm=mvlight2L=mc2L

Substitute the given values

fm=m310820.10=m1.5109=1.5mGHz

03

Frequencies between 10 GHz and 20 GHz

The generator can produce standing waves at any frequency between 10GHzand 20GHz.

The table below shows the frequencies produce by the generator between 10GHzand 20GHz.

m
fmGHz
710.5
812
913.5
1015
1116.5
1218
1319.5

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