The distance between two peaks in a wave is called the wavelength. This value is equal to the speed of light divided by the frequency.
Wavelength = c/f
Wavelength = 3x10^8 / 3x10^18
Wavelength = 1 x 10^-10 m = 0.1 nm
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Wavelength is the distance between two points of the two consecutive peaks. The wavelength for X-rays with frequency 3×10¹⁸ is 0.1 nm.
Wavelength is the distance between two points of the two consecutive peaks. It can be given as,
[tex]{\rm Wavelength}=\dfrac{\text{Speed of light}}{\text{Frequency of the wave}}= \dfrac cf\\[/tex]
The wavelength is the distance between two peaks of a wave. This number is equal to the frequency divided by the speed of light. Therefore, we can write,
[tex]{\rm Wavelength}=\dfrac{\text{Speed of light}}{\text{Frequency of the wave}}= \dfrac cf\\[/tex]
As it is given that the frequency of the wave is equal to 3×10¹⁸, and we know that the speed of the light is equal to 3×10⁸ m/sec. Thus, the wavelength can be written as,
[tex]{\rm Wavelength} = \dfrac cf\\\\{\rm Wavelength} = \dfrac{3\times 10^8}{3\times 10^{18}}\\\\{\rm Wavelength} = 1 \times 10^{-10} m = 0.1\rm\ nm[/tex]
Thus, the wavelength for X-rays with frequency 3×10¹⁸ is 0.1 nm.
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