How is nuclear binding energy calculated, and why is it important?

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1 Answer
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9 months ago

Nuclear Binding Energy is the amount of energy required to completely dismantle a nucleus into its individual protons and neutrons which is equivalent to the amount of energy to form a nucleous from its constituent nucleons (protons and neutrons).

Binding energy is calculated using Einstein's mass-en

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A = A 0 e λ t 1     [Radio active decay law]

A 5 = A 0 e λ ( t 2 t 1 )

A v e r a g e l i f e = 1 λ = ( t 2 t 1 ) l n 5  

          

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f o r A , t 1 2 = 4 s e c  

= m A 0 e 0 . 6 9 3 4 × 1 6

m A = m A 0 e 4 × 0 . 6 9 3    -(1)

for B,

for B,  t 1 2 = 8 s e c  

m B = m B 0 e 2 × 0 . 6 9 3               -(2)

m A m B = m A O m B O e 4 × 0 . 6 9 3 e 2 × 0 . 6 9 3

m A m B = 2 5 1 0 0 = x 1 0 0 x = 2 5

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Physics Ncert Solutions Class 12th 2023

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