Given below are two statements: one is labelled as Assertion $\mathbf{A}$ and the other is labelled as Reason $\mathbf{R}$
Assertion A : The binding energy per nucleon is practically independent of the atomic number for nuclei of mass number in the range 30 to 170 .
Reason R : Nuclear force is short ranged.
In the light of the above statements, choose the correct answer from the options given below
Solution
The statement about the binding energy per nucleon is true, and is known as the semi-empirical mass formula. According to this formula, the binding energy per nucleon for nuclei in the range of mass numbers 30 to 170 is nearly constant, with a maximum value around mass number 60.
<br/><br/>
The statement about nuclear force being short ranged is also true. The strong nuclear force that binds nucleons together is a short-range force that acts only over distances of a few femtometers.
<br/><br/>
Therefore, both Assertion A and Reason R are true, and Reason R provides a valid explanation for Assertion A. The correct answer is:
<br/><br/>
So, Both Assertion A and Reason R are true, and Reason R is the correct explanation for Assertion A.
About this question
Subject: Physics · Chapter: Atoms and Nuclei · Topic: Bohr's Model of Hydrogen Atom
This question is part of PrepWiser's free JEE Main question bank. 184 more solved questions on Atoms and Nuclei are available — start with the harder ones if your accuracy is >70%.