Question

Can someone help me solve this question using the guess method? A popular radio station broadcasts with a frequency of 105.1 MHz. What is the wavelength of the broadcast? (1 M10Hz=10^6Hz)

Answer 1

Guessing the answer sounds hard (impossible?)
I would use
freq * wavelength = speed (of light)
105.1*10^6 per sec* L = 3*10^8 m/sec
you get
\[ L = \frac{3\cdot 10^8}{105.1\cdot 10^6} m \]
which can be simplified.

Answer 2

\[ 105.1 \cdot 10^6 = 1.051 \cdot 10^8\]
(if you make the 105 smaller by dividing by 100, you make the 10^6 bigger by multiplying by 100)
so the wavelength is
\[ L = \frac{3\cdot 10^8}{1.051\cdot 10^8} \ meters\]
or very close to 3 meters (about 10 feet)

Answer 3

wavelength = speed of light / frequency
wavelength = 299,792,458 meters per second / 105,100,000

Answer 4

Thanks - that makes it a little more clear!! :)