An FM station broadcasts classical music at 89.5 MHz (megahertz, or 106 Hz). Find the wavelength (in m, nm, and ) of these radio waves.
2007-10-25 01:40:50 · 12 answers · asked by Anonymous in Science & Mathematics ➔ Physics
what you need to know is that 89.5MHz means the station makes 89,500,000 waves a second. The waves travel at the speed of light, so by the time the last wave of the second is at the transmitter, the first one is already [speed of light per second, which is 299 792 458 m / s] meters away. Think of the waves as boxcars on a railway. You know there are 89,500,000 'boxcars' and they stretch over 299,792,458 meters of 'track'. So one 'boxcar' is 299,792,458 / 89,500,000 meters long.
If you are so lazy that you can't be bothered working that out, Doctor Q is close enough.
2007-10-25 01:51:22 · answer #1 · answered by mis42n 4 · 0⤊ 2⤋
89.5 Mhz is about 3.35 metres (300/89.5), 106Mhz would be around 2.83 metres. 106 Hz would of course be in the audio spectrum and the wavelength would be 300,000,000/106; but I assume you mean Mhz?
More info on this page:
http://homepages.tesco.net/~a.wadsworth/AmateurRadio.htm
2007-10-25 01:54:25 · answer #2 · answered by Mike10613 6 · 0⤊ 0⤋
formula is wavelength = c/frequency
In Mksa c= 3*10^8m/s and frequency in herz
so wavelength = 3*10^8/89.5*10^6 =3.352m = 3.352*10^9nm
2007-10-25 01:52:29 · answer #3 · answered by maussy 7 · 0⤊ 0⤋
That's a really good question, and I didn't know the answer, so I called god (I have him on my speed dial for just these kind of reasons) and I wasn't able to get him on the phone. It's funny ~ now that you mention it, I've never been able to get him on the phone =/ It's like he's not really there or something. I just keep getting his answering service. Let me try it again. Hang on a second. *mumbles, okay star, seven, seven, seven* Nope! Same message "The number you are trying to reach seven, seven, seven is unavailable at this time. To leave a voice message . . ." Oh well, I tried. Sorry.
2016-05-25 19:13:21 · answer #4 · answered by Anonymous · 0⤊ 0⤋
l = c/f ( c = l*f )
l : wavelength
c : light's velocity ( 3*10^8 m/sec)
f : frequency ( 89.5 10^6 Hz )
and then you calculate.
2007-10-25 02:54:15 · answer #5 · answered by Anonymous · 0⤊ 0⤋
frequency = velocity of wave / wavelength
velocity of wave = speed of light = 3*10^8 m/s
89.5 MHz = 3*10^8 m/s / wavelength
wavelength = (89.5 MHz) / (3 * (10^8) (m / s)) = .0298333333 m
.0298333333 meters = 29833333 nanometers
2007-10-25 01:49:01 · answer #6 · answered by DanE 7 · 0⤊ 2⤋
Frequency = 89.5MHz = 8.95 * 10^7 Hz
Speed of Light / Frequency = Wavelength.
3 * 10^8 / 8.95 *10^7 = 3.352 metres
or 3.352 * 10^9 nm
2007-10-25 01:48:24 · answer #7 · answered by Doctor Q 6 · 0⤊ 1⤋
wavelength = speed * frequemcy
the speed of waves in air is what , 3 E 9 ? which si the speed of light. then u putliply by frequency and u get the wavelength ., then u just convert to the given unit
2007-10-25 01:47:40 · answer #8 · answered by Kris 2 · 0⤊ 1⤋
I think its wavelength = speed/ wavelength. I'm a little rusty but I believe you have to use the speed of light (3.0 X10^8 m/s). You may have to convert some of your units, but hopefully this will help. I haven't had physics in years.
2007-10-25 01:49:30 · answer #9 · answered by Adam G 2 · 0⤊ 3⤋
you have to draw that yourself, not get a verbal answer, how will you understand the question next time?
2007-10-25 01:43:10 · answer #10 · answered by Anonymous · 1⤊ 0⤋