Home Physics Atomic and Nuclear Physics Karnataka - CET Previous Year Question Mass numbers of the elements and are , an…
Physics Atomic and Nuclear Physics Karnataka - CET Previous Year Question Single Correct MCQ
Published on: September 12, 2026

Mass numbers of the elements and are , and 120 respectively. The specific binding energy of them are , and respectively. Then, in which of the following reaction/s energy is released?
(1)
(2)
(3)

A
only in (1)
B
in (2), (3)
C
in (1), (3)
D
in (1), (2) and (3)

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Text Solution

Verified by Experts
The correct answer is:
D
Step 1: Identify the binding energies of the elements involved in each reaction.
From the question, let’s denote the elements accordingly:
A: mass number = 30, binding energy = 5 MeV
B: mass number = 60, binding energy = 8.5 MeV
C: mass number = 90, binding energy = 7 MeV
D: mass number = 120, binding energy = 8 MeV.

Step 2: Analyze each reaction for energy release:
(1) D → 2B: The mass-energy before the reaction is the binding energy of D. The mass-energy after the reaction is the sum of the binding energies of 2B. Thus, energy is released since 2(8.5) < 8.
(2) C → B + A: Energy is released here as well because the binding energy of B + A is less than C.
(3) B → 2A: This process also releases energy since the binding energy of 2A is less than B.

Step 3: Therefore, energy is released in all three reactions. Thus, the correct answer is D.

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