makaunawal5

2022-07-20

At what velocity does a proton have a 6.00-fm wavelength (about the size of a nucleus)? Assume the proton is nonrelativistic. (1 femtometer $={10}^{-15}m.$ )

emerhelienapj

Beginner2022-07-21Added 14 answers

The de Broglie equation is,

$v=\frac{h}{{m}_{\text{proton}}\lambda}$

Therefore,

$v=\frac{6.62\times {10}^{-34}kg{m}^{2}/s}{(1.67\times {10}^{-27}kg)(6.00\times {10}^{-15}m)}\phantom{\rule{0ex}{0ex}}=6.61\times {10}^{7}m/s$

$v=\frac{h}{{m}_{\text{proton}}\lambda}$

Therefore,

$v=\frac{6.62\times {10}^{-34}kg{m}^{2}/s}{(1.67\times {10}^{-27}kg)(6.00\times {10}^{-15}m)}\phantom{\rule{0ex}{0ex}}=6.61\times {10}^{7}m/s$

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