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Atoms and Nuclei question

2025 · 3 Apr · Shift 1 · Q63
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Atoms and Nuclei question

2025 · 3 Apr · Shift 1 · Q63

JEE MainPhysicsAtoms and NucleiMCQ+4 / −1

 Match the LIST-I with LIST-II \text { Match the LIST-I with LIST-II } Match the LIST-I with LIST-II 

List - I
List - II
A.
01n+92235U→54140Xe+3894Sr+201n{ }_0^1 \mathrm{n}+{ }_{92}^{235} \mathrm{U} \rightarrow{ }_{54}^{140} \mathrm{Xe}+{ }_{38}^{94} \mathrm{Sr}+2{ }_0^1 \mathrm{n}01​n+92235​U→54140​Xe+3894​Sr+201​n

I.
 Chemical reaction \text { Chemical reaction } Chemical reaction 

B.
2H2+O2→2H2O2 \mathrm{H}_2+\mathrm{O}_2 \rightarrow 2 \mathrm{H}_2 \mathrm{O}2H2​+O2​→2H2​O

II.
 Fusion with +ve Q value \text { Fusion with +ve } \mathrm{Q} \text { value } Fusion with +ve Q value 

C.
12H+12H→23He+01n{ }_1^2 \mathrm{H}+{ }_1^2 \mathrm{H} \rightarrow{ }_2^3 \mathrm{He}+{ }_0^1 \mathrm{n}12​H+12​H→23​He+01​n

III.
 Fission \text { Fission } Fission 

D.
11H+13H→12H+12H{ }_1^1 \mathrm{H}+{ }_1^3 \mathrm{H} \rightarrow{ }_1^2 \mathrm{H}+{ }_1^2 \mathrm{H}11​H+13​H→12​H+12​H

IV.
 Fusion with -ve Q value \text { Fusion with -ve } Q \text { value } Fusion with -ve Q value 

 Choose the correct answer from the options given below: \text { Choose the correct answer from the options given below: } Choose the correct answer from the options given below: 
  1. A
    A-II, B-I, C-III, D-IV
  2. B
    A-III, B-I, C-II, D-IV
  3. C
    A-III, B-I, C-IV, D-II
  4. D
    A-II, B-I, C-IV, D-III
View written solutionFree

Correct answer: B

  1. Identify each reaction in List-I

A.

01n+92235U→54140Xe+3894Sr+201n{}_0^1n + {}_{92}^{235}U \rightarrow {}_{54}^{140}Xe + {}_{38}^{94}Sr + 2{}_0^1n01​n+92235​U→54140​Xe+3894​Sr+201​n A heavy nucleus splits into two medium nuclei with neutrons emitted.

  • This is nuclear fission.
  • So, A→IIIA \to IIIA→III

B.

2H2+O2→2H2O2H_2 + O_2 \rightarrow 2H_2O2H2​+O2​→2H2​O This is an ordinary reaction involving rearrangement of electrons and atoms, not nuclei.

  • This is a chemical reaction.
  • So, B→IB \to IB→I

C.

12H+12H→23He+01n{}_1^2H + {}_1^2H \rightarrow {}_2^3He + {}_0^1n12​H+12​H→23​He+01​n Two light nuclei combine to form a heavier nucleus.

  • This is fusion.
  • Now check whether QQQ is positive or negative.

Using approximate atomic masses: m(2H)≈2.0141 um({}^2H) \approx 2.0141\,um(2H)≈2.0141u So initial mass: 2×2.0141=4.0282 u2\times 2.0141 = 4.0282\,u2×2.0141=4.0282u

Final masses: m(3He)≈3.0160 u,m(n)≈1.0087 um({}^3He) \approx 3.0160\,u, \quad m(n) \approx 1.0087\,um(3He)≈3.0160u,m(n)≈1.0087u 3.0160+1.0087=4.0247 u3.0160 + 1.0087 = 4.0247\,u3.0160+1.0087=4.0247u

Mass defect: Δm=4.0282−4.0247=0.0035 u>0\Delta m = 4.0282 - 4.0247 = 0.0035\,u > 0Δm=4.0282−4.0247=0.0035u>0 Hence, Q=Δmc2>0Q = \Delta m c^2 > 0Q=Δmc2>0 So this is fusion with positive QQQ value.

Therefore, C→IIC \to IIC→II


D.

11H+13H→12H+12H{}_1^1H + {}_1^3H \rightarrow {}_1^2H + {}_1^2H11​H+13​H→12​H+12​H Again, light nuclei are involved, so classify as fusion/transmutation-type nuclear process and check QQQ.

Initial mass: m(1H)+m(3H)≈1.0078+3.0160=4.0238 um({}^1H) + m({}^3H) \approx 1.0078 + 3.0160 = 4.0238\,um(1H)+m(3H)≈1.0078+3.0160=4.0238u

Final mass: 2m(2H)≈2×2.0141=4.0282 u2m({}^2H) \approx 2\times 2.0141 = 4.0282\,u2m(2H)≈2×2.0141=4.0282u

Mass defect: Δm=4.0238−4.0282=−0.0044 u<0\Delta m = 4.0238 - 4.0282 = -0.0044\,u < 0Δm=4.0238−4.0282=−0.0044u<0 Thus, Q<0Q < 0Q<0 So this corresponds to fusion with negative QQQ value.

Therefore, D→IVD \to IVD→IV


  1. Final matching

Thus the correct match is: A−III,  B−I,  C−II,  D−IVA-III, \; B-I, \; C-II, \; D-IVA−III,B−I,C−II,D−IV

  1. Compare with options

This corresponds to Option B.

  1. Comparison with stored answer

Stored correct answer = B.

Our derived answer also = B.

So, the stored answer is correct.

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