Easy MCQ +4 / -1 PYQ · JEE Mains 2023

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

  1. A $\mathrm{A}$ is false but $\mathbf{R}$ is true
  2. B $\mathrm{A}$ is true but $\mathbf{R}$ is false
  3. C Both $\mathbf{A}$ and $\mathbf{R}$ are true and $\mathbf{R}$ is the correct explanation of $\mathbf{A}$ Correct answer
  4. D Both $\mathbf{A}$ and $\mathbf{R}$ are true but $\mathbf{R}$ is NOT the correct explanation of $\mathbf{A}$

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

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