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What is the frequency of an X-ray with wavelength 0.13 nm ? Assume that the wave travels in free space. Express your answer to two significant figures and include the appropriate units.

Answer :

Answer:

Frequency, [tex]f=2.30\times 10^{18}\ Hz[/tex]

Explanation:

Given that,

The wavelength of the x-rays, [tex]\lambda=0.13\ nm=0.13\times 10^{-9}\ m[/tex]

We need to find the frequency of an x-ray. All electromagnetic wave travel with a speed of light. It is given by the formula as :

[tex]c=f\lambda[/tex]

f is the frequency

[tex]f=\dfrac{c}{\lambda}\\\\f=\dfrac{3\times 10^8}{0.13\times 10^{-9}}\\\\f=2.30\times 10^{18}\ Hz[/tex]

So, the frequency of an x-ray is [tex]2.30\times 10^{18}\ Hz[/tex]. Hence, this is the required solution.

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