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Question -

The radionuclide 11Cdecays according to

The maximum energy of the emittedpositron is 0.960 MeV.

Given the mass values:

calculate andcompare it with the maximum energy of the positron emitted



Answer -

The given nuclear reactionis:

Atomic mass of  = 11.011434 u

Atomicmass of 

Maximum energy possessed by theemitted positron = 0.960 MeV

Thechange in the Q-value (ΔQ) of the nuclear masses ofthe  nucleus is given as:

Where,

me =Mass of an electron or positron = 0.000548 u

= Speedof light

m’ =Respective nuclear masses

If atomic masses are used insteadof nuclear masses, then we have to add 6 me in thecase of

and 5 minthe case of .

Hence, equation (1) reduces to:

ΔQ =[11.011434 − 11.009305 − 2 × 0.000548] c2

= (0.001033 c2)u

But 1 u = 931.5 Mev/c2

ΔQ =0.001033 × 931.5 ≈ 0.962 MeV

The value of Q isalmost comparable to the maximum energy of the emitted positron.

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