Question

. An electromagnetic radio wave is received by a transmitter before it is converted to a sound wave. The radio wave has a wavelength of 23,076 m and a frequency of 13,000 Hz. What velocity is the wave traveling at before the transmitter converts it to a sound wave? A 1.76 m/s B 0.56 m/s C 3.31 × 102 m/s D 3.00 × 108 m/s

Answer 1

3.00 times 10 E 8 m/s

or D

Step-by-step explanation:

Just got it right on edge 2020

Answer 2

By definition, the wavelength of an electromagnetic wave is calculated using the following formula:

`\lambda = (c)/(f)`

Where:

\lambda = wavelength

c = speed of light =
`3\ x\ 10^8\ m/s`

f = frequency of the wave.

This relation means that the division of the wavelength λ between the frequency f is always equal to the speed of light.

Thus:

the velocity v of this wave must be equal to c.

`v = f\lambda`

`v = (23\ 076\ m) (13\ 000\ Hz)`

`v = 2.9999\ x\ 10^8 = c`

Finally the correct answer is D.
`3.00\ x\ 10^8`