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  • 03-11-2020
  • Chemistry
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Calculate the wavelength of light that has a frequency of 10.4 x 1012 1/s.

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Space Space
  • 03-11-2020

Answer:

λ = 2.9 × 10⁻⁵ m

General Formulas and Concepts:

c = λν

  • C = Speed of Light (3 × 10⁸ m/s)
  • λ = wavelength (m or nm)
  • ν = frequency (Hz or 1/s⁻¹)

Explanation:

Step 1: Define

ν = 10.4 × 10¹² Hz

Step 2: Solve for λ

  1. Substitute:                             3.0 × 10⁸ = λ(10.4 × 10¹² Hz)
  2. Divide both sides by ν:         0.000029 = λ
  3. Rewrite:                                  λ = 2.9 × 10⁻⁵ m

Step 3: Check

We are given 3 sig figs.

Wavelength has only 2 sig figs.

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