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If the frequency of an electromagnetic wave is 1 × 106 Hz what is the wavelength? Answer in units of nm.

User Nmunson
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The wavelength of an electromagnetic wave with a frequency of 1 × 106 Hz is calculated to be 300 nm, using the speed of light equation and the conversion from meters to nanometers.

The wavelength of an electromagnetic wave with a frequency of 1 × 106 Hz is 300 nm. To find the wavelength (λ), we use the speed of light equation c = λ x f, where c is the speed of light (approximately 3 × 108 m/s), λ is the wavelength in meters, and f is the frequency in hertz (Hz). Thus, λ = c/f = (3 × 108 m/s) / (1 × 106 Hz) = 300 m. To convert to nanometers (nm), we multiply by 109 (since 1 m = 1 × 109 nm), resulting in a wavelength of 300 × 109 nm or 300 nm.

using the relationship between frequency and wavelength for electromagnetic waves and the constant speed of light, we can determine that a wave with a frequency of 1 × 106 Hz has a wavelength of 300 nm.

User RuiDC
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Answer:
\lambda=3(10)^(11)nm

Explanation:

The speed of light (electromagnetic wave) is given by the following formula:


c=f.\lambda (1)

Where:


c=3(10)^(8)(m)/(s) is the speed of light


f=1(10)^(6)Hz the frequency


\lambda the wavelength

So, we have to find
\lambda from (1):


\lambda=(c)/(f) (2)


\lambda=(3(10)^(8)(m)/(s))/(1(10)^(6)Hz)


\lambda=300m

But we are asked to find the wavelength in nm. If we know
1nm=(10)^(-9)m, then:


\lambda=300m.(1nm)/((10)^(-9)m)=3(10)^(11)nm

Finally:


\lambda=3(10)^(11)nm

User Nelion
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