An FM radio station generates radio waves that have a frequency of 95.5 MHz. The frequency of the waves from a competing station have a frequency of 102.7 MHz. What is the difference in wavelength between the waves emitted from the two stations?
From what I know
Speed = Frequency x wavelength (v=fλ)
I need to find out wavelength 2 - wavelength 1. This i understand no problem thing thats got me is the equation the tutor gave to work out the equation is...
λ2-λ1=v/f2 - v/f2 <-- Why would I be subtracting the same from the same the answer would be = to zero, would the equation not be...
λ2-λ1=v/f2 - v/f1
I love my physics classes but sadly our tutor 80% of the time runs out of time before he finishes the class but still tests us on the things he missed out (this being one of them) So, im a little stuck from this point on since im not sure what the speed would be, since we have not been told what it is nor how to find it out.
I tryed to look up the speed online and what I found (hopfully corect) is 343 m/s,
The Attempt at a Solution
λ1-λ2=v/f1 - v/f2
343/95.5 = 3.59(2dp) - 343/102.7 = 3.34 (2dp)
Now, im not sure if this is corect, since its actually a multi choice on the answer and the nearest answer is actually 0.22m (interactive test so told me that the right answer when expermented)
my main problem is where did I go wrong to get 0.25 where he got 0.22.
Anyone able to give me some help/advice on this?
p.s. really sorry on spelling, cant attach my disleaxer form on here (smiles)