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

Wavelength,
`\lambda=3.97* 10^(-11)\ m`

Step-by-step explanation:

It is given that,

Frequency of x - ray,
`f=7.55* 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=(c)/(f)`

c is the speed of light

`\lambda=(3* 10^8\ m/s)/(7.55* 10^(18)\ Hz)`

`\lambda=3.97* 10^(-11)\ m`

So, the wavelength in vacuum of these x-rays is
`3.97* 10^(-11)\ m`. Hence, this is the required solution.