Question

​What is the wavelength of an electron that has a kinetic energy of 0.50 MeV (relativistic)?

Answer 1

Answer:

The wavelength of electron is $6.99\times 10^{-22}\ m$

Explanation:

The kinetic energy of the electron is, $E=0.5\ MeV=0.5\times 10^6\ eV$

We need to find the wavelength of this electron. It can be calculated using the concept of DE-broglie wavelength as :

$\lambda=\dfrac{h}{\sqrt{2mE} }$

h is Plank's constant

m is the mass of electron

$\lambda=\dfrac{6.67\times 10^{-34}\ J-s}{\sqrt{2\times 9.1\times 10^{-31}\ kg\times 0.5\times 10^6\ eV} }$        

$\lambda=6.99\times 10^{-22}\ m$

So, the wavelength of electron is $6.99\times 10^{-22}\ m$. Hence, this is the required solution.