How to calculate the de Broglie wavelength, in nm, of a baseball with m = 200 g and u = 30 m/s ?

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Answer 1 · 2015-02-28T00:41:45

$λ = \frac{h}{m v}$ $lambda =(h)/(mv)$

$h$ $h$ is the Planck Constant $= 6.63 \times 10^{- 34} Js$ $=6.63xx10^(-34)"Js"$

$m$ $m$ = mass = $200 \times 10^{- 3} = 0.2 kg$ $200xx10^(-3)=0.2"kg"$

$v$ $v$ = velocity =30m/s

$λ = \frac{6.63 \times 10^{- 34}}{0.2 \times 30}$ $lambda=(6.63xx10^(-34))/(0.2xx30)$

$λ = 1.1 \times 10^{- 34} m$ $lambda=1.1xx10^(-34)"m"$

$λ = 1.1 \times 10^{- 25} nm$ $lambda=1.1xx10^(-25)"nm"$