Question

In a dentist's office an X-ray of a tooth is taken using X-rays that have a frequency of 7.55 × 10^18 Hz. What is the wavelength in vacuum of these X-rays?

Answer 1

Answer:

Wavelength, $\lambda=3.97\times 10^{-11}\ m$

Explanation:

It is given that,

Frequency of x - ray, $f=7.55\times 10^{18}\ Hz$

Let $\lambda$ is the wavelength in vacuum of these X-rays. The relation between the wavelength and the frequency is given by :

$c=f\lambda$

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

c is the speed of light

$\lambda=\dfrac{3\times 10^8\ m/s}{7.55\times 10^{18}\ Hz}$

$\lambda=3.97\times 10^{-11}\ m$

So, the wavelength in vacuum of these x-rays is $3.97\times 10^{-11}\ m$. Hence, this is the required solution.