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.
What is the wavelength of the wave?
Wavelength is the distance between two points of the two consecutive peaks. It can be given as,
\({\rm Wavelength}=\dfrac{\text{Speed of light}}{\text{Frequency of the wave}}= \dfrac cf\\\)
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,
\({\rm Wavelength}=\dfrac{\text{Speed of light}}{\text{Frequency of the wave}}= \dfrac cf\\\)
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,
\({\rm Wavelength} = \dfrac cf\\\\{\rm Wavelength} = \dfrac{3\times 10^8}{3\times 10^{18}}\\\\{\rm Wavelength} = 1 \times 10^{-10} m = 0.1\rm\ nm\)
Thus, the wavelength for X-rays with frequency 3×10¹⁸ is 0.1 nm.
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