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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^-21`J

∴ 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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