calculate the frequency in hertz of electromagnetic radiation that has a wavelength of 720.0 nm. (c= 3.00 X 10^8 m/s)

Respuesta :

Answer:

[tex]f=216s^{-1}=216Hz[/tex]

Explanation:

Hello.

In this case, the relationship between wavelength, speed of light and frequency is:

[tex]\lambda=\frac{c }{f}[/tex]

It means that solving for the frequency, we obtain:

[tex]f=c*\lambda[/tex]

Thus, for the given 720-nm wavelength and the speed of light, the frequency is:

[tex]f=3.00x10^8\frac{m}{s}*720.0nm*\frac{1x10^{-9}m}{1nm}\\ \\f=216s^{-1}=216Hz[/tex]

Best regards.

Lanuel

The frequency in hertz of the electromagnetic radiation is [tex]4.12 \times 10^{14}[/tex] Hertz.

Given the following data:

  • Wavelength = 720.0 nanometers.
  • Speed = [tex]3.00 \times 10^8[/tex] m/s

Conversion:

1 nanometer = [tex]1 \times 10^{-9}[/tex] meter

720 nanometer = [tex]7.2 \times 10^{-7}[/tex] meter

To find the frequency in hertz of the electromagnetic radiation:

Mathematically, the frequency of an electromagnetic radiation is given by the formula:

[tex]Frequency = \frac{speed}{wavelength}[/tex]

Substituting the given parameters into the formula, we have;

[tex]Frequency = \frac{3.00 \times 10^8}{7.2 \times 10^{-7}}[/tex]

Frequency = [tex]4.12 \times 10^{14}[/tex] Hertz

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