# 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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Chapter 23 / Lesson 2Wave-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.