Question

Find the De Broglie wavelength of a 100 MeV electron using the relativistic energy formula.

Answer 1

Answer:

The wavelength is $1.23\times10^{-13}\ m$

Explanation:

Given that,

Energy = 100 MeV

We need to calculate the De Broglie wavelength

Using formula of wavelength

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

Where, h = Planck constant

m = mass of electron

E = Energy

Put the value into the formula

$\lambda=\dfrac{6.63\times10^{-34}}{\sqrt{2\times9.1\times10^{-31}\times100\times10^{6}\times1.6\times10^{-19}}}$

$\lambda=1.23\times10^{-13}\ m$

Hence, The wavelength is $1.23\times10^{-13}\ m$