Respuesta :
By definition we know that we can calculate the frequency of an electromagnetic wave by wavelength, using the following equation:
[tex]\lambda = \frac{c}{f}[/tex]
Where:
λ is the wavelength.
c is the speed of light
f is the frequency.
Then:
[tex]560\ nm = 560\ x\ 10^{-9}\ m[/tex]
So:
[tex]f =\frac{c}{\lambda}[/tex]
We know that the speed of light is:
[tex]c = 300\ 000\ km/s\ = 3\ x\ 10^8\ m/s[/tex]
So:
[tex]f = \frac{3\ x\ 10^8\ m/s}{560\ x\ 10^{-9}\ m}[/tex]
[tex]f = 5.357\ x\ 10^{14}\ Hz[/tex]
Finally, the frequency is [tex]5.357\ x\ 10^{14}\ Hz[/tex]
The frequency corresponding to the color of this light is 5.357 x 10¹⁴ Hz.
Frequency of light
The frequency of the light is calculated by applying the relationship between speed of light and frequency as follows;
v = fλ
where;
- f is the frequency
- λ is the wavelength
- v is the speed of light
f = v/λ
f = (3 x 10⁸)/(560 x 10⁻⁹)
f = 5.357 x 10¹⁴ Hz
Thus, the frequency corresponding to the color of this light is 5.357 x 10¹⁴ Hz.
Learn more about frequency of light here: https://brainly.com/question/10728818