Naomi calculated the wavelength (in m), the frequency (in Hz) and photon energy

Question

Naomi calculated the wavelength (in m), the frequency (in Hz) and photon energy (in J) of the radio waves associated with her favorite FM radio station. The values, not necessarily in the correct order, were: 5.60 x 10-26, 3.55 and 8.45 x 107. Make a correct assignment of the values of the wavelength, frequency and photon energy.

*** Show your work or give your reasoning

     Wavelength            Frequency        Photon Energy

A) 5.60 x 10-26    8.45 x 107        3.55

B) 5.60 x 10-26 3.55 8.45 x 107
C) 8.45 x 107 5.60 x 10-26 3.55
D) 8.45 x 107 3.55 5.60 x 10-26
E) 3.55                         8.45 x 107 5.60 x 10-26                 
F) 3.55                         5.60 x 10-26                8.45 x 107

THE ANSWER IS E BUT PLEASE SHOW YOUR WORK/THOUGHT PROCESS ON HOW YOU GOT THERE THANKS!

Explanation / Answer

given radio waves

we know that

the wavelength of radio waves are in the range of 10-3 m and 10^5 m

looking at the given values

we can see that

wavelength = 3.55 m

now

we know that

for electromagnetic waves

frequency = speed of light / wave length

also

speed of light = 3 x 10^8 m /s

so

frequency = 3 x 10^8 / 3.55

frequency = 8.45 x 10^7

so

the frequency is 8.45 x 10^7

now

we know that

E = h x f

where

h = plancks constant = 6.626 x 10-34

so

E = 6.626 x 10-34 x 8.45 x 10^7

E = 5.6 x 10-26

so

the energy is 5.60 x 10-26

so the values are

wave length = 3.55

frequency = 8.45 x 10^7

energy = 5.60 x 10-26

so

the answer is option E

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