What is the velocity if the wave length is 0.1 and the frequency 3000 ?

1 Answer
Jun 14, 2018

It all depends on what units of measurement you apply.

Explanation:

#color(blue)("Using very unlikely units of measurement")#

#color(brown)("Method though is correct and transferable")#

#color(brown)("Did you know you can cancel out units of measurement")##color(brown)("the same way you do numbers?")#

Set the wave length units of measurement as Metres
Set the frequency as Hertz (cycles per second - Hz)
Set the length of time measured for as 1 second

Distance for 1 second
#->(0.1" metres"/cancel("cycle"))xx(3000cancel(" cycles")/"second") = 300 "metres"/"second"#

So for your questions solution we have:

#300xx("whatever unit of length you use")/("whatever init of time you use") #

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Comparing to units for light")#

#color(brown)("A web search revield:")# http://www.physlink.com/education/askexperts/ae442.cfm)#

From which I obtained:
The speed of light is defined exactly as 299,792,458 m/s. A photon of red-orange light from a HeNe laser has a wavelength of 632.8 nm. Using the equation gives a frequency of #4.738xx10^(14)# Hz or about 474 trillion cycle per second.

Note that #nm# is nanometres.
A nanometre is a unit of spatial measurement that is 10 to the -9th meter, or one billionth of a meter