Understanding the Relationship

The speed of an electromagnetic wave (like light) is constant in a vacuum, and it's represented by the symbol 'c'. The relationship between speed (c), frequency (f), and wavelength (λ) is:

* c = fλ

Solving the Problem

1. Convert units:

* Wavelength (λ) is given in nanometers (nm). Convert it to meters (m):

* 3.87 nm = 3.87 x 10^-9 m

2. Substitute values:

* c = (7.75 x 10^16 Hz) * (3.87 x 10^-9 m)

3. Calculate:

* c ≈ 3.00 x 10^8 m/s

Answer:

The speed of the electromagnetic wave is approximately 3.00 x 10^8 m/s, which is the speed of light in a vacuum.