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What is the wavelength of radiation that has a frequency of 7.7x1010 s-1?
Wiki User
∙ 12y ago
What is the wavelength of radiation for a frequency f = 4800000000000 Hz? Answer For the frequency f = 4800000000000 Hz the wavelength lambda = 0.0062 centimeters in vacuum.
Wiki User
∙ 15y ago
Wiki User
∙ 14y ago"λ = c / f" is one of the most important formulae for EM waves. ('c' = speed of light)
It is derived from "s = v * t", which for an EM wave becomes "λ = c * T", and as "f = 1/T", "λ = c / f".
λ = (3 * 108 ms-1) / (6.912 * 1014 s-1)
λ = 4.3 * 10-7 m
λ = 430 nm
This is visible light, around the indigo region.
Wiki User
∙ 12y agoCaution: Lots of numbers just ahead.
Before we plow into that answer below, I just want to mention that the speed
of all electromagnetic waves is the same: 299,792,458 meters (186,282 miles)
per second in vacuum, slightly less in material media. Doesn't matter what the
frequency or the wavelength is. I can't wait to see how he's going to calculate
it, since all of the easy ways to calculate anything about electromanetic waves
use the speed as part of the calculation. Let's go have a look. I now turn it over
to the contributor who wrote the first answer:
=======================================================
The speed of the wave with a frequency of 7.8x10^-10 Hz is 2.99x10^6 m/s.
s=fλ; where s is the speed, f is the frequency, and λ is the wavelength
3.00x10^8 m/s= λ(7.8x10^-10 Hz)
7.8x10^-10 Hz 7.8x10^-10 Hz
0.384x10^18 m=λ
λ=3.84x10^17 m
s=(7.8x10^-10)(3.84x10^17)
s=29.952x10^7
s=2.99x10^6 m/s
I think that's how you do it and I hope this helps you.
=============================================
I read it and I still don't understand how he did it . . .
Wiki User
∙ 12y agoC/V
(3.00*10^8)/(7.7*10^10) =
.0038961039 meters
Wiki User
∙ 14y agoWavelength = (speed) / (frequency) = (3 x 108) / (5.8 x 1014) = 0.517 x 10-6 meter = 517 nm
Wiki User
∙ 10y agoWavelength = speed/frequency
In vacuum, speed = 299,792,458 meters/second
Wavelength = 299,792,458/7.54 x 1018 = 0.03976 nanometer (rounded)
Wiki User
∙ 11y agoWavelength = speed/frequency
300,000,000 meters per second/1,820,000 per second = 164.72 meters (in vacuum, rounded)
Wiki User
∙ 13y ago0.05 millimeter, in vacuum
Wiki User
∙ 12y ago535 nm
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