Thermal neutrons are neutrons that move at speeds comparable to those of air molecules at room temperature. These neutrons are most effective in initiating a nuclear chain reaction among 235U isotopes. Calculate the wavelength (in nm) associated with a beam of neutrons moving at 6.94*102 m/s (mass of a neutron=1.675*10-27 kg). Enter your answer in scientific notation.

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Asked Oct 12, 2019
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Thermal neutrons are neutrons that move at speeds comparable to those of air molecules at room temperature. These neutrons are most effective in initiating a nuclear chain reaction among 235U isotopes. Calculate the wavelength (in nm) associated with a beam of neutrons moving at 6.94*102 m/s (mass of a neutron=1.675*10-27 kg). Enter your answer in scientific notation. 

 

 

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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:

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

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Step 3

Velocity of beam = 6.94*102 m/s

Mass of a neutron=1.675*10-27 kg

Subst...

mxv
6.626 x 1034 J.sec
-(1 J=1 kg m2/s2)
1.675x102 kg x 6.94 x 102 m/sec
6.626 x 1034 kg m2/s2.sec
=
1.675x102kg x 6.94 x 102 m/sec
= 0.57x10°m = 0.57 nm= 5.7 x 10°nm
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mxv 6.626 x 1034 J.sec -(1 J=1 kg m2/s2) 1.675x102 kg x 6.94 x 102 m/sec 6.626 x 1034 kg m2/s2.sec = 1.675x102kg x 6.94 x 102 m/sec = 0.57x10°m = 0.57 nm= 5.7 x 10°nm

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