J.R. S. answered 01/13/21
Ph.D. University Professor with 10+ years Tutoring Experience
There are a few equations you should learn when working with frequency (ν), wavelength (λ), and energy (E).
c = λν where c = speed of light = ~3x108 m/sec
E = hν where h = Plank's constant = 6.626x10-34 J-sec
E = hc/λ
In the current problem, we are given the frequency as 1160 kHz
Converting to Hz, we have 1160x103 Hz (and recall that Hz is the same as sec-1) THIS IS THE FREQUENCY
We can now use E = hν
E = 6.626x10-34 Js * 1160x103 s-1
E = 7.7x10-28 J
And to find wavelength, we can use c = λν
3x108 m/s = λ(1160x103 s-1)
λ = 259 m