Question

Which of the following figures correctly represents the shape of the curve of binding energy per nucleon as a function of mass number?

• A.
• B.
• C.
• D.

Hint:

The peak in the binding energy curve around \( A = 56 \) (Iron-56) explains why nuclear fission and fusion release energy—lighter elements fuse to move towards iron, and heavier elements split to move towards iron.

Answer 1

The Correct Option is B

Nuclear physics defines the binding energy per nucleon curve against mass number as a core principle. This energy quantifies nuclear stability. Generally, binding energy per nucleon rises with mass number up to a maximum, then declines.

The chart illustrates this pattern:

• In lighter nuclei, binding energy per nucleon climbs steeply with increasing mass number, reflecting enhanced stability.
• This ascent culminates at mass numbers approximately 56-58, encompassing elements like iron and nickel. These nuclei exhibit maximum stability and the highest binding energy per nucleon.
• Beyond this peak, binding energy per nucleon diminishes progressively in heavier nuclei. This decline is attributed to the growing proton-repelling force at higher nucleon counts, despite the stabilizing role of neutrons.