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# In nuclear reactors, neutrons travel with energies of 5 × 10-21J. Find their speed and wavelength. - Physics

Sum

In nuclear reactors, neutrons travel with energies of 5 × 10-21J. Find their speed and wavelength.

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#### Solution

Data: KE = 5 × 10-21 J, m = 1.675 × 10-27 kg, h = 6.63 × 10-34 J.s

KE = 1/2 "mv"^2 = 5 xx 10^-21J

∴ v = sqrt((2"KE")/"m") = sqrt(((2)(5 xx 10^-21))/(1.675 xx 10^-27))

= 2.443 × 103 m/s

This is the speed of the neutrons. The de Broglie wavelength associated with the neutron,

λ = "h"/"mv" = (6.63 xx 10^-34)/((1.675 xx 10^-27)(2.443 xx 10^3))

= 1.620 × 10-10 m = 1.620 Å

Concept: Davisson and Germer Experiment
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#### APPEARS IN

Balbharati Physics 12th Standard HSC Maharashtra State Board
Chapter 14 Dual Nature of Radiation and Matter
Exercises | Q 17 | Page 323
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