Nuclear Stability and Binding Energy – Rankers Physics
Topic: Modern Physics
Subtopic: Nucleus

Nuclear Stability and Binding Energy

Assertion (A): Nucleus having more binding energy is more stable.
Reason (R): Stability increases with increase in number of nucleons.
 
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution:

Assertion (A) is false. A nucleus with higher *total* binding energy is not necessarily more stable; stability is determined by binding energy *per nucleon*. For example, \(^{238}U\) has more total binding energy than \(^{56}Fe\) but is less stable. Reason (R) is also false. Nuclear stability increases with nucleon number up to (A approx 56) (Iron) and then decreases for heavier nuclei.

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