The diffraction of radiation can be used to determine the spacing between atoms. In practice, the wavelength of the radiation used should be restricted to a value which is of the same order of magnitude as the interatomic distances to be determined. Such experiments are commonly performed using X-rays (electromagnetic radiation), however a beam of subatomic particles, such as of neutrons or electrons, may also be used if their corresponding de Broglie wavelength is of the appropriate magnitude.Calculate the de Broglie wavelength of a neutron (mn = 1.67493×10-27 kg) moving at one six thousandth of the speed of light (c/6000).

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Asked Nov 15, 2019
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The diffraction of radiation can be used to determine the spacing between atoms. In practice, the wavelength of the radiation used should be restricted to a value which is of the same order of magnitude as the interatomic distances to be determined. Such experiments are commonly performed using X-rays (electromagnetic radiation), however a beam of subatomic particles, such as of neutrons or electrons, may also be used if their corresponding de Broglie wavelength is of the appropriate magnitude.

Calculate the de Broglie wavelength of a neutron (mn = 1.67493×10-27 kg) moving at one six thousandth of the speed of light (c/6000).

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Expert Answer

Step 1

Electromagnetic spectrum involves different radiations from the lowest to the highest frequency values. Some common radiations which are part of electromagnetic radiations are infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays.

Step 2

The de Broglie equation purposed the relation between wavelength and mass of the photon. The mathematical expression for this relation is:

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h m x v here N= wavelength m mass h-Planck's constant v velocity

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Step 3

Velocity of neutron = c/6000

Speed of light = 3...

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c Velocity of neutron = 6000 3.0x10 m/sec Velocity of neutron = | = 5.0x10m/sec 6000

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