The portion of the visible spectrum that appears brightest to the human eye is approximately 560 nm in wavelength, which corresponds to yellow-green. what is the frequency of this light?

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.

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