The frequency of yellow light is 5.0 x 1014 Hz. Find its wavelength.?

Answer 1

λ=vw/f
where,
λ = wavelength of a sound wave or electromagnetic wave
vw is the speed of propagation of the wave, and
f = frequency of the wave in 1/s = Hz.
So,
For radio waves this relationship is approximated with the formula: wavelength λ (in metres) equals 3×108 m/s divided by frequency ν (in hertz).

For sound waves in air, this relationship is approximated with the formula: wavelength λ (in metres) = 343 m/s divided by frequency (in hertz). .

Note that the speed of light c=3*10^8 m/s in a vacuum , and thus in a vacuum or λ =c/f

λ =3*10^8/(5.0*10^14)
λ=0.6*10^(8-14)
λ=0.6*10^(-6) m

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http://www.sengpielaudio.com/calculator-wavelength.htm

Answer 2

frequency= velocity of light X wavelength
so, 5.0 x 10**14= 3 X 10**8 x wavelength
wavelength = 5/3 x 10**6 mtr

Answer 3

The frequency of light multiplied by its wavelength gives the speed of light.
λ * f = c
The Speed of light in a vacuum, c, = 3 E8 m/s

If we are given the frequency and we want to find the wavelength, just divide the speed of light by the frequency,

λ = c / f

In the question, we are told that f = 5.0 E14 Hz, and we are assumed to know what value c has (3 E8 m/s).

Plugging into the equation,
λ = (3 E8 m/s) / (5.0 E14 Hz)
λ = 6 E-7 meters, or 600 nanometers.


To check to make sure this answer is correct, we can plug it back into the formula we know to be true (c = f * λ).

(3 E8 m/s) = (5.0 E14 Hz) * (6 E-7 m)
This statement is, in fact, equal, so we know that that answer is correct.

Answer 4

wavelength = speed/frequency =(3 x 10^8m/s)/ (3.50 x 10^14 Hz) = 857 nanometers

Answer 5

the formula for wavelength is

lambda = c/f
where c velocity of light c = 3 10^8 m/s , f= frequency HZ

so lambda (wavelength ) = 3 10^8/510^14 = 6 10^-7m = 600 nm

Answer 6

We actually have a formula for this type of problems, which says,
Velocity of ANY electromagnetic radiation = (Its wavelength) X (Its frequency)
Now, we know that, velocity of ANY electromagnetic radiation is equal to the velocity of light, which is 3x10^8 m/s.
So, according to your question,
3x10^8 = (Wavelength) x (5.0 x 10^14)
=> Wavelength = 3/5 x 10^-6 m
=> Wavelength = 0.667 micrometre

This should help you in solving your problem, I think.