1. (a) The diffraction of radiation can be used to determine the spacing between
ID: 1479763 • Letter: 1
Question
1.
(a) 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 three thousandth of the speed of light (c/3000).
(Enter at least 4 significant figures.) ANSWER -- ?
+ h = 6.62608×10-34 J s
c = 2.99792458×108 m/s
(B)Calculate the velocity of an electron (me = 9.10939×10-31 kg) having a de Broglie wavelength of 278.4 pm.
(1 pm = 10-12 m) ANSWER - ?Explanation / Answer
DeBroglie Wavelength of a neutron is Lambda neutron = h/mv = h/m(c/3000) = 3000*h/mc
Lambda Neutron = 3000*6.62608×10-34 /(1.67493×10-27 *2.99792458×108 )
Lambda Neutron = 3.958 pm
B)
Velocity of electron = h/(m*lambda) = 6.62608×10^-34/(9.10939×10-31 * 278.4 *10^-12)
Velocity of electron = 2.61*10^6 m/s
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