Match List-I with List-II.
| List-I | List-II |
|---|---|
| (A) Energy equivalent of 1 u | (I) 7.6 MeV |
| (B) Energy released in the fission of one uranium nucleus (order of magnitude) | (II) 931.5 MeV |
| (C) Binding energy per nucleon of a nucleus with \(A = 56\) | (III) 200 MeV |
| (D) Binding energy per nucleon of a nucleus with \(A = 238\) | (IV) 8.75 MeV |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → (A)-(II), (B)-(III), (C)-(IV), (D)-(I)
(A) Energy equivalent of 1 u — This matches (II) 931.5 MeV. It comes from \( E=mc^{2} \) applied to the mass \( 1.6605\times10^{-27}\ \mathrm{kg} \).
(B) Energy released in the fission of one uranium nucleus (order of magnitude) — This matches (III) 200 MeV. The fragments are more tightly bound than uranium, by about 0.9 MeV per nucleon. With about 240 nucleons, this comes to about 200 MeV.
(C) Binding energy per nucleon of a nucleus with \( A=56 \) — This matches (IV) 8.75 MeV, the highest point of the binding energy curve.
(D) Binding energy per nucleon of a nucleus with \( A=238 \) — This matches (I) 7.6 MeV; the curve falls off for heavy nuclei.
NCERT (2026-27):
Example 13.3 – “… = 0.9315 × 109 eV = 931.5 MeV or, 1u = 931.5 MeV/c2”
Fission – “The energy released (the Q value ) in the fission reaction of nuclei like uranium is of the order of 200 MeV per fissioning nucleus. …”
Nuclear binding energy – “… The curve has a maximum of about 8.75 MeV for A = 56 and has a value of 7.6 MeV for A = 238.”