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13. Nuclei — Physics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 SciencePhysics13. Nuclei1 Mark
MCQ
Assertion : The binding energy per nucleon, for nuclei with atomic mass number $A > 100$, decreases with $A$.

Reason : The nuclear forces are weak for heavier nuclei.

  • ✓
    If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
  • B
    If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
  • C
    If the Assertion is correct but Reason is incorrect.
  • D
    If both the Assertion and Reason are incorrect.
✓

Answer

Correct option: A.
If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
a
Binding energy per nucleon decreases with $A$ for nuclei with atomic mass number $A > 100$ due to weak nuclear forces. It can be explain as : At short distances, the nuclear force is stronger than the Coulomb force; it can overcome the Coulomb repulsion of protons inside the nucleus. At typical nucleon separation $(1.3\, fm)$ it is a very strong attractive force ($104$ $newtons$ ). Beyond about $1.3\, fm$ separation, the force exponentially dies off to zero. However, the Coulomb force between protons has a much larger range and becomes the only significant force between protons when their separation exceeds about $(2.5\, fm, A > 100)$.

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