Question

Calculate the wavelength of light that has a frequency of 10.4 x 1012 1/s.

Answer 1

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)

Step-by-step 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.