frequency of radiation in a microwave oven is 2.45 x 10 ^ 9 Hz. show that the wavelength is about 12 cm
2007-10-15 02:24:11 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Physics
use the formula :
V= F * wavelength
then,
V = 3x10^8 m/s (speed of light)
V = 3x10^10 cm/s
3x10^10 = (2.45x10^9) x wavelength
therefore,
wavelength = (3x10^10)/(2.45x10^9)
wavelength = 12.2cm
* btw , DO YOUR OWN HOMEWORK !! ;)
2007-10-15 02:34:28 · answer #1 · answered by thelasthalo 2 · 0⤊ 0⤋
The wavelength of e.m.(electromagnetic) radiation is related to its frequency , f, throught the speed of light, c (e.m. radiation is really light!) by
Wavelength=c/f = 3x10^8 m/s /2.45 x 10^9 = 3/24.5 m= 0.122 m = approx 12 cm
2007-10-15 09:34:08 · answer #2 · answered by physicist 4 · 0⤊ 0⤋
Just plug it into the DeBroglie wave equation with "c" the speed of light. If you use a calculator, then you will get the answer in scientific notation, you will need to convert the meters to centimeters, because of the units in "c".
recall that wavelength is the lambda, and frequency is the nu in the equation, where c is the speed of light.
Hopefully, you can do it yourself now.
2007-10-15 09:30:20 · answer #3 · answered by greengo 7 · 0⤊ 0⤋
Since electromagnetic wave propagates in free space or air at the speed of light c=2.99E+8 m/s and
c=fL...where
f- frequency
L - wavelength
then
L=c/f= 2.99E+8/2.45 E+9=
L=0.12.2 m=
L=12.2 cm
2007-10-15 09:34:10 · answer #4 · answered by Edward 7 · 0⤊ 0⤋