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Atoms and Nuclei question

2024 · 4 Apr · Shift 1 · Q68
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Atoms and Nuclei question

2024 · 4 Apr · Shift 1 · Q68

JEE MainPhysicsAtoms and NucleiMCQ+4 / −1
Which of the following nuclear fragments corresponding to nuclear fission between neutron (01n)\left({ }_0^1 \mathrm{n}\right)(01​n) and uranium isotope (92235U)\left({ }_{92}^{235} \mathrm{U}\right)(92235​U) is correct :
  1. A
    56140Xe+3894Sr+301n{ }_{56}^{140} \mathrm{Xe}+{ }_{38}^{94} \mathrm{Sr}+3{ }_0^1 \mathrm{n}56140​Xe+3894​Sr+301​n
  2. B
    51153Sb+4199Nb+301n{ }_{51}^{153} \mathrm{Sb}+{ }_{41}^{99} \mathrm{Nb}+3{ }_0^1 \mathrm{n}51153​Sb+4199​Nb+301​n
  3. C
    56144Ba+3689Kr+401n{ }_{56}^{144} \mathrm{Ba}+{ }_{36}^{89} \mathrm{Kr}+4{ }_0^1 \mathrm{n}56144​Ba+3689​Kr+401​n
  4. D
    56144Ba+3689Kr+301n{ }_{56}^{144} \mathrm{Ba}+{ }_{36}^{89} \mathrm{Kr}+3{ }_0^1 \mathrm{n}56144​Ba+3689​Kr+301​n
View written solutionFree

Correct answer: D

  1. Write the fission reaction condition

    A neutron strikes uranium-235: 01n+92235U→fragments{}_0^1n + {}_{92}^{235}U \rightarrow \text{fragments}01​n+92235​U→fragments

    So, total mass number on the left is: 1+235=2361+235=2361+235=236 and total atomic number on the left is: 0+92=920+92=920+92=92

    For any correct fission fragment set, both must be conserved:

    • Mass number A=236A = 236A=236
    • Atomic number Z=92Z = 92Z=92
  2. Check option A

    56140Xe+3894Sr+301n{}_{56}^{140}Xe + {}_{38}^{94}Sr + 3{}_0^1n56140​Xe+3894​Sr+301​n

    • Mass number: 140+94+3=237140+94+3=237140+94+3=237
    • Atomic number: 56+38=9456+38=9456+38=94

    This does not satisfy conservation.

    Hence, A is incorrect.

  3. Check option B

    51153Sb+4199Nb+301n{}_{51}^{153}Sb + {}_{41}^{99}Nb + 3{}_0^1n51153​Sb+4199​Nb+301​n

    • Mass number: 153+99+3=255153+99+3=255153+99+3=255
    • Atomic number: 51+41=9251+41=9251+41=92

    Atomic number is correct, but mass number is not.

    Hence, B is incorrect.

  4. Check option C

    56144Ba+3689Kr+401n{}_{56}^{144}Ba + {}_{36}^{89}Kr + 4{}_0^1n56144​Ba+3689​Kr+401​n

    • Mass number: 144+89+4=237144+89+4=237144+89+4=237
    • Atomic number: 56+36=9256+36=9256+36=92

    Atomic number is correct, but mass number is not.

    Hence, C is incorrect.

  5. Check option D

    56144Ba+3689Kr+301n{}_{56}^{144}Ba + {}_{36}^{89}Kr + 3{}_0^1n56144​Ba+3689​Kr+301​n

    • Mass number: 144+89+3=236144+89+3=236144+89+3=236
    • Atomic number: 56+36=9256+36=9256+36=92

    Both mass number and atomic number are conserved.

    Hence, D is correct.

  6. Final Answer

    The correct nuclear fission fragments are: 56144Ba+3689Kr+301n{}_{56}^{144}Ba + {}_{36}^{89}Kr + 3{}_0^1n56144​Ba+3689​Kr+301​n

    So the correct option is D.

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