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What is the de Broglie wavelength of an electron traveling at 1.48 x 10^5 m/s?

What is the de Broglie wavelength of an electron traveling at 1.48 x 10^5 m/s?-example-1
User Gzorg
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1 Answer

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The formula of De Broglie is the following:


\lambda=(h)/(mv)\begin{cases}\lambda=wavelength\text{ (m)} \\ h=Planck\text{ constant =6.626}\cdot10^(-34)Js \\ m=mas\text{s (kg)} \\ \text{v=}velocity\text{ (m/s)}\end{cases},

Remember that the mass of an electron is 9.11 x 10 ^(-31) kg, so replacing in the formula, we're going to obtain:


\begin{gathered} \lambda=\frac{6.626\cdot10^(-34)J\cdot s}{9.11\cdot10^(-31)\operatorname{kg}\cdot1.48\cdot10^5(m)/(s)}, \\ \lambda=4.91\cdot10^(-9)\text{ m} \end{gathered}

The answer is that the wavelength of an electron traveling at 1.48 x 10^(5) m/s is 4.91 x 10^(-9) m.

User Scupit
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