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JEE Main 2023 (13 Apr, Shift 2) · Mass Defect & Binding Energy

Mass Defect & Binding Energy question from JEE Main 2023 (13 Apr, Shift 2)

Q13JEE Main 2023 · 13 APR · SHIFT 2Easy

Mass Defect & Binding Energy

Given below are two statements: one is labelled as Assertion A\mathbf{A} and the other is labelled as Reason R\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

Show answer and solution

Answer: (c)

  1. Assertion: true. BE/ABE/A is nearly constant (about 8 MeV) for 30<A<17030 < A < 170.
  2. Reason: true. Nuclear force is short ranged, so a nucleon interacts only with its nearest neighbours.
  3. This saturation makes BE/ABE/A independent of AA, so R explains A.
  4. So the answer is (c).
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