# Determine the frequency of electromagnetic waves in air, the length of which is 2 cm

October 13, 2021 | education

| Given:

c = 3 * 10 ^ 8 m / s (meters per second) – the speed of propagation of electromagnetic waves;

l = 2 centimeters – the length of electromagnetic waves.

It is required to determine v (Hertz) – the frequency of electromagnetic waves.

We translate the units of measurement of length into the SI system:

l = 2 cm = 2 * 10-2 = 2/100 = 0.02 meters.

Let’s find the period of wave oscillations:

T = l / c.

Then the frequency of electromagnetic waves will be equal to:

v = 1 / T;

v = 1 / (l / c) = c / l;

v = 3 * 10 ^ 8 / 0.02 = 150 * 10 ^ 8 = 1.5 * 10 ^ 10 Hertz.

Answer: the frequency of electromagnetic waves will be equal to 1.5 * 10 ^ 10 Hertz.

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