Published by:
CGP EDU Academic Team
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)
Text Solution
Verified by ExpertsThe 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.
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.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
Activity of a radioactive sample decreases to of its original value in 3 days. Then, in 9 days its…
If and are the radii of the atomic nuclei of mass numbers 64 and 125 respectively, then the ratio…
A radioactive element forms its own isotope after 3 consecutive disintegrations. The particles emit…
A radioactive substance contains 10,000 nuclei and its half-life period is 20 days. The number of n…
The volume of a nucleus is directly proportional to (where mass number of the nucleus)
The ratio of the nuclear radii of elements with mass numbers 216 and 125 is