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Alja [10]
3 years ago
15

A. An FM radio station broadcasts at a frequency of 101.3 MHz. What is the wavelength?

Physics
1 answer:
Verdich [7]3 years ago
4 0

Answer:

a) \lambda = \frac{3x10^8 m/s}{101300000 Hz}= 2.962 m

b)  f= \frac{343 m/s}{2.962 m}= 115.8 Hz

Explanation:

For this case we have the following frequency given:

f= 101.3 MHz

We can convert this into Hz like this:

f= 101.3 MHz * \frac{10^6 Hz}{1 MHz}= 101300000 Hz

If we have a fundamental wave we need to satisfy the following condition:

v = \lambda f

If we solve for the wavelength we got:

\lambda = \frac{v}{f}

We know that the velocity of the light is v= 3x10^8 m/s

And if we replace into the last formula we got:

\lambda = \frac{3x10^8 m/s}{101300000 Hz}= 2.962 m

Part b

For this case we can use the same formula but on this case the velocity of the sound at 20C is approximately 343 m/s, the frequency is given by:

f = \frac{v}{\lambda}

We use the same wavelenght from the previous part \lamba = 2.962 m

And if we replace the new values we got:

f= \frac{343 m/s}{2.962 m}= 115.8 Hz

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