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maks197457 [2]
3 years ago
5

A communications satellite transmits a radio wave at a frequency of 9.4 x 10^9 Hz. What is the signal’s wavelength? Assume the w

ave travels in a vacuum. Show your work.
Biology
1 answer:
sergejj [24]3 years ago
5 0
To calculate this we will use the light equation:
c=λ*f

We have Frequency f=9.4* 10^{9}Hz.
We know that speed of light in vacuum is c =3.8* 10^{8} m/s.
Since a unit of speed of light is m/s, we can change the unit of frequency Hz to 1/s, since Hz means cycles per second (f=1/T).

So:
f=9.4* 10^{9}1/s
<span>c =3.8* 10^{8} m/s
</span>
<span>c=λ*f
</span>⇒ λ= \frac{c}{f}
⇒ λ= \frac{3.8* 10^{8}}{9.4* 10^{9}}
⇒ <span>λ</span>=0.04 m

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