Question

What is the frequency of an X-ray if it has 1 angstrom wavelength?

Answer 1

To determine the frequency of an X-ray with a wavelength of 1 angstrom, we can use the equation:

$c=\lambda \times f$

where: $c$ is the speed of light (approximately $3\times 10^8$ meters per second), $\lambda$ is the wavelength in meters, and $f$ is the frequency in hertz.

First, we need to convert the wavelength from angstroms to meters. Since 1 angstrom is equal to $10^{-10}$ meters, we have:

$\lambda =1\text{angstrom}\times 10^{-10}\text{m/angstrom}=10^{-10}\text{m}$

Next, we can rearrange the equation to solve for the frequency:

$f=\frac{c}{\lambda }$

Substituting the values:

f=3×108 m/s10−10 mf = frac{3 imes 10^8 , ext{m/s}}{10^{ -10} , ext{m}}f=10−10m3<span class=