Question

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

Answer 1

The wavelength is
`1.23*10^(-13)\ m`

Step-by-step explanation:

Given that,

Energy = 100 MeV

We need to calculate the De Broglie wavelength

Using formula of wavelength

`\lambda=(h)/(√(2mE))`

Where, h = Planck constant

m = mass of electron

E = Energy

Put the value into the formula

`\lambda=\frac{6.63*10^(-34)}{\sqrt{2*9.1*10^(-31)*100*10^(6)*1.6*10^(-19)}}`

`\lambda=1.23*10^(-13)\ m`

Hence, The wavelength is
`1.23*10^(-13)\ m`