Gujarati
Hindi
13.Nuclei
easy

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.

A

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.

(AIIMS-2006) (AIIMS-2013)

Solution

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 $(2.5\, fm, A > 100)$.

Standard 12
Physics

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