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An alpha particle is emitted during the process of alpha decay with a velocity of $2.00\times {10}^{7}\text{ m/s}$.

If an alpha particle has a mass of $6.64\times{10}^{-27}\text{ kg}$, what is the de Broglie wavelength?

Note:

• $h=6.626\times{10}^{-34}\text{ J s}$
• Assume the alpha particle is not moving relativistically.
A

$5.88\times{10}^{-15}\text{ m}$

B

$1.10\times{10}^{-16}\text{ m}$

C

$3.07\times{10}^{-14}\text{ m}$

D

$4.99\times{10}^{-15}\text{ m}$

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