Subjective Type

The speed of electromagnetic waves (which include visible light, radio, and $$ x $$ rays ) in vacuum is $$ 3.0 \times 10^{8} \mathrm{m} / \mathrm{s} $$. X-ray wavelengths range from about $$ 5.0 \mathrm{nm} $$ to about $$ 1.0 \times 10^{-2} \mathrm{nm} . $$ What is the frequency range for x rays?

Solution

For X rays
$$f_{\min }=\dfrac{c}{\lambda_{\max }}=\dfrac{3.0 \times 10^{8} \mathrm{m} / \mathrm{s}}{5.0 \times 10^{-9} \mathrm{m}}=6.0 \times 10^{16} \mathrm{Hz}$$
and $$f_{\max }=\dfrac{c}{\lambda_{\min }}=\dfrac{3.0 \times 10^{8} \mathrm{m} / \mathrm{s}}{1.0 \times 10^{-11} \mathrm{m}}=3.0 \times 10^{19} \mathrm{Hz}$$

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