Respuesta :

λ=v/f

λ-wavelength

v-speed

f-frequency

we have the wavelength(6.2 x 10^-6meters) and we use the speed of light which is equal to 3*10^8m/s

6.2*10^-6m=3*10^8m/s/f

f=(3*10^8m/s)/(6.2*10^-6)≈0.48*10^14Hz

Answer:

The frequency of orange light is:

[tex]f=\:4.8\:\times \:10^{13}[/tex] Hz

Step-by-step Explanation:

The relation between frequency and wavelength is

  • v = fλ

Here,

  • v = c = 3×10⁸ m/s
  • wavelength λ = 6.2 x 10⁻⁶ m

Therefore, using the formula

f = c / λ

  [tex]=\frac{\left(3\times 10^8\right)}{\left(6.2\:\times 10^{-6}\right)}\:[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]

  [tex]=\frac{3\times \:10^{8-\left(-6\right)}}{6.2}[/tex]

   [tex]=\frac{10^{14}\times \:3}{6.2}[/tex]

   [tex]=\:4.8\:\times \:10^{13}[/tex] Hz

Therefore, the frequency of orange light is:

[tex]f=\:4.8\:\times \:10^{13}[/tex]  Hz

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