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Chapter 4: Q20E (page 134)

What is the wavelength of a neutron of kinetic energy 1MeV? Of kinetic energy20eV? (The difference is important for the fission of uranium, as a neutron will be more easily absorbed when its wavelength is very large compared with the dimensions of the wavelength behaves more like a diffuse wave than like a localized particle)

Short Answer

Expert verified

The wavelength of Neutron of kinetic energy

位1MeV=2.87脳10-14鈥�m

位20eV=6.41脳10-12鈥�m

Step by step solution

01

Step 1:Given data.

Given that the neutron's K.E. is 1鈥塎别痴and20鈥�eV

02

Wavelength of the neutron with the known kinetic energy

KE=p22mKE=h2/位22m位=h2m脳KE

03

Wavelength for the Kinetic Energy of20 eV .

KE=20鈥塭痴=32脳10-19鈥塉

位=6.63脳10-34鈥�J鈰�s2脳(1.67脳10-27鈥�kg)脳(32脳10-19鈥�J)=6.41脳10-12m

Therefore, the wavelength of Neutron of kinetic energy

(a)位1MeV=2.87脳10-14鈥�m

(b)位20eV=6.41脳10-12鈥�m

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