Question

What is the frequency of an electromagnetic wave that has a wavelength of 4.55 x 10-3 m?

Answer 1

v = 6.59 × 10¹⁰ Hz

Step-by-step explanation:

Wavelength Formula: c = λv

Step 1: Define

c is the speed of light = 3.0 × 10⁸ m/s

λ is wavelength = 4.55 × 10⁻³ m

v is frequency in hertz

Step 2: Substitute and Evaluate for v

3.0 × 10⁸ = 4.55 × 10⁻³ · v

v = 6.59341 × 10¹⁰ Hz

Step 3: Simplify

We are given 3 sig figs.

6.59341 × 10¹⁰ Hz ≈ 6.59 × 10¹⁰ Hz