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What is the wavelength of a 1-hertz electromagnetic wave?

1) less than 1 m
2) 1 m
3) more than 1 m

User MasterOdin
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1 Answer

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Final answer:

The wavelength of a 1-hertz electromagnetic wave, calculated using the formula λ = c / f where c is the speed of light, is 3×10¸ meters, which is much more than 1 meter. Option 3 is correct.

Step-by-step explanation:

The wavelength of an electromagnetic wave is inversely proportional to its frequency, which means that as the frequency increases, the wavelength decreases, and vice versa. The relationship between wavelength (λ), frequency (f), and the speed of light (c) is given by the formula λ = c / f, where c is a constant approximately equal to 3×108 m/s. To find the wavelength of a 1-hertz (Hz) electromagnetic wave, we apply this formula with f = 1 Hz.

λ = 3×108 m/s / 1 s-1 = 3×108 m

Hence, the wavelength of a 1-hertz electromagnetic wave is much more than 1 meter.

The wavelength of an electromagnetic wave can be calculated using the formula:

Wavelength = Speed of Light / Frequency

Since the frequency of the wave is given as 1 Hz, we can substitute this value into the formula:

Wavelength = Speed of Light / 1 Hz

Speed of Light is approximately 3 x 10^8 m/s, so the wavelength of a 1-hertz electromagnetic wave is 3 x 10^8 meters, which is more than 1 meter.

User Furqan
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