Respuesta :

Answer:

λ =  521nm

Explanation:

To convert wavelength to frequency we need to use the equation:

ν = c / λ

Where ν is frequency: 5.76x10¹⁴s⁻¹;

c is speed of light: 3x10⁸ms⁻¹;

And λ is wavelength in m:

Wavelength is:

λ = c / ν

λ = 3x10⁸ms⁻¹ / 5.76x10¹⁴s⁻¹

λ = 5.21x10⁻⁷m

= 521nm

The wavelength of a photon of green light that has a frequency (v) of 5.76x10¹⁴ s-¹ is 5.21 × 10-⁷m

HOW TO CALCULATE WAVELENGTH:

  • The wavelength of a photon can be calculated by using the formula below:

λ = v/f

Where;

  1. λ = wavelength of the photon (m)
  2. v = velocity (3 × 10⁸ m/s)
  3. v = frequency of photon (s-¹)

  • According to this question, the frequency (v) of a greenlight is 5.76x10¹⁴ s-¹, the wavelength can be calculated as follows:

λ = 3 × 10⁸ ÷ 5.76 x 10¹⁴

λ = 3/5.76 × 10⁸-¹⁴

λ = 0.521 × 10-⁶

λ = 5.21 × 10-⁷m

  • Therefore, the wavelength of a photon of green light that has a frequency (v) of 5.76x10¹⁴ s-¹ is 5.21 × 10-⁷m.

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