Frequency = (speed) / (wavelength)
Speed = 3 x 10⁸ m/s
Wavelength = 3 cm = 0.03 m
Frequency = (3 x 10⁸ m/s) / (0.03 m)
Frequency = (3 x 10⁸ / 0.03) (m / m-s)
Frequency = 1 x 10¹⁰ Hz (10 Gigahertz)
The frequency of a microwave of wavelength 3cm is = 1 x 10¹⁰ Hz.
The wavelength is the distance between the adjacent crest or trough of the sinusoidal wave. The wavelength is inversely proportional to the frequency of the wave.
Wavelength λ = c/f
If a microwave has a wavelength of 3 cm =0.03 m, and Speed c = 3 x 10⁸ m/s, then the frequency will be
frequency = c / λ
Substitute the values, we get
Frequency = (3 x 10⁸ m/s) / (0.03 m)
Frequency = (3 x 10⁸ / 0.03)
Frequency = 1 x 10¹⁰ Hz or 10 Gigahertz.
Thus, the frequency of a microwave of wavelength 3cm is = 1 x 10¹⁰ Hz.
Learn more about wavelength.
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