Question

What is the the frequency (in MHz) of x-rays radiation that has a wavelength of 0.06830 nanometers? The speed of light is 3.00x10⁸ m/s.

Answer 1

Wavelength, ​ = 0.06830 nm
​ = 0.06830 x 10^-9 m
                        = 6.83 x 10^-11 m

The formula of wavelength of electromagnetic wave is

= x ​

where is velocity of light, and is also velocity of electromagnetic wave.

​ = 3 x 10⁸ m s^-1

x-ray is one type of electromagnetic wave.

So,

= x ​​

or, ​​ = /

or, ​​ = (3 x 10⁸ m s^-1) / (6.83 x 10^-11 m)   

or, ​​ = 4.39 x 10¹⁸ s^-1

or, ​​ = 4.39 x 10¹⁸ Hz [Hertz expressed in SI base units is 1/second (1/s or s^-1)].

or, ​​ = 4.39 x 10¹⁸ x 10^-6 MHz    [ 1 Hz = 10^-6 MHz]

or, ​​ = 4.39 x 10¹² MHz