Before the neutrino hypothesis, the beta decay process was thought to be the transition.
n —> p + e
If this was true, show that if the neutron was at rest, the proton and electron would emerge with fixed energies and calculate them. Experimentally, the electron energy was found to have a large range.

 

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8 months ago

This is a Long Answer Type Questions as classified in NCERT Exemplar

Explanation- Pn=Pp+Pe

Pp+Pe=0

Pe=Pp=P

Ep= ( m p 2 c 4 + p p 2 c 2 ) 1/2

Ee= ( m e 2 c 4 + p p 2 c 2 ) 1/2

(me2c4+pe2c2)1/2

From conservation of energy

( m p 2 c 4 + p p 2 c 2 ) 1/2= ( m e 2 c 4 + p e 2 c 2 ) 1/2= mnc2

mpc2= 936MeV, mnc2=938MeV, mec2=0.51MeV

since the energy difference n and p is small

mpc2+ p 2 c 2 2 m p 2 c 4 = m n c 2 - p c

pc= mnc2-mpc2 = 938-936= 2MeV

Ep=( m p 2 c 4 + p 2 c 2 )1/2= 0.51 2 + 2 2

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Physics Ncert Solutions Class 12th 2023

Physics Ncert Solutions Class 12th 2023

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