Calculate the wavelength (in nm) of a neutron traveling at a speed of 85.0 m/s. the mass of a...

Question:

Calculate the wavelength (in nm) of a neutron traveling at a speed of 85.0 m/s. The mass of a neutron is 1.67493 x 10{eq}^{-24}{/eq} g.

Wave-particle Duality:


Wave-particle duality is a central part of quantum mechanics theory and describes the wave-like nature that is exhibited by all matter. Based on the de Broglie equation,

{eq}\lambda = \dfrac{h}{mv} {/eq}

{eq}\lambda {/eq} is for the wavelength, h is Planck's constant with the value of {eq}\rm 6.626 \times 10^{-34}\; J\cdot s {/eq}, and v is the velocity.

Answer and Explanation: 1

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Based on de Broglie equation,

{eq}\lambda = \dfrac{h}{mv} {/eq}

m = 1.67493 x 10{eq}^{-24}{/eq} g/neutron = 1.67493 x 10{eq}^{-27}{/eq}...

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Wave-Particle Duality & the Davisson-Germer Experiment

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Chapter 23 / Lesson 2
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Wave-particle duality means that light and sub-atomic particles can also behave as waves, hence the duality. Study the definition of wave-particle duality, the Davisson-Germer Experiment, the de Broglie wavelength, and an example calculation.


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