Calculating the Frequency of a Light Wave

Explanation:

Given data:

Frequency of light = ?

Wavelength of light = 4.28×10⁻⁷m

Solution:

Formula:

Speed of light = wavelength × frequency

c = λ × f

f = c/λ

This formula shows that both are inversely related to each other.

The speed of light is 3×10⁸ m/s.

Frequency is taken in Hz. It is the number of oscillations a wave of light makes in one second.

Wavelength is designated as "λ" and measured in meters. It is the distance between the two crests or two troughs.

Now we will put the values in the formula:

f = 3×10⁸ m/s / 4.28×10⁻⁷m

f = 0.701×10¹⁵ s⁻¹ = Hz

Therefore, the frequency of a light wave with a wavelength of 4.28 x 10-7 m is 0.701×10¹⁵ Hz.