Question

What is the ratio of De Brogile's wave lengths of Mg²⁺ ion and C⁺ ion accelerated with 100 volts potentials each.

Answer 1

$\lambda=\frac{h}{p}=\frac{h}{\sqrt{2mE}} \frac{h}{\sqrt{2mqV}}$

$\lambda=\frac{6.6×10^{-34}}{\sqrt{2×9.1×10^{-31}×1.6×10^{-19}×100}}$

$\lambda=8.6×10^{-11}$