Respuesta :
Answer:
[tex]Wavelength=\lambda=1\times 10^{-10}[/tex] m
Step-by-step explanation:
Given that the wavelengths for X-rays with frequency [tex]3\times 10^{18}[/tex]
To find the wavelengths for the given X-rays:
The distance between two peaks in a wave is called the wavelength.
The value of wavelength is equal to the wave velocity divided by the frequency.
That is written by
[tex]Wavelength=\lambda =\frac{v}{f}[/tex]
[tex]Wavelength =\frac{3\times 10^8}{3\times 10^{18}}[/tex]
[tex]=\frac{10^8}{10^{18}}[/tex]
[tex]=\frac{1}{10^{18}.10^{-8}}[/tex] (by using the property [tex]a^m=\frac{1}{a^{-m}}[/tex])
[tex]=\frac{1}{10^{18-8}}[/tex] (by using the property [tex]a^m.a^n=a^{m+n}[/tex])
[tex]=\frac{1}{10^{10}}[/tex]
[tex]=1\times 10^{-10}[/tex] m (by using the property [tex]\frac{1}{a^{m}}=a^{-m}[/tex])
