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Atoms and Nuclei question

2024 · 8 Apr · Shift 2 · Q77
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Atoms and Nuclei question

2024 · 8 Apr · Shift 2 · Q77

JEE MainPhysicsAtoms and NucleiMCQ+4 / −1
In a hypothetical fission reaction 92X236→56Y141+36Z92+3R{ }_{92} X^{236} \rightarrow{ }_{56} \mathrm{Y}^{141}+{ }_{36} Z^{92}+3 R92​X236→56​Y141+36​Z92+3R The identity of emitted particles (R) is :
  1. A
    Proton
  2. B
    Neutron
  3. C
    Electron
  4. D
    γ\gammaγ-radiations
View written solutionFree

Correct answer: B

  1. Write the given nuclear reaction
92X236→56Y141+36Z92+3R{}_{92}X^{236} \rightarrow {}_{56}Y^{141} + {}_{36}Z^{92} + 3R92​X236→56​Y141+36​Z92+3R

We need to identify the particle RRR.

  1. Use conservation of mass number

In any nuclear reaction, the total mass number must be conserved.

  • Left side mass number: 236236236
  • Right side mass number: 141+92+3AR141 + 92 + 3A_R141+92+3AR​

So,

236=141+92+3AR236 = 141 + 92 + 3A_R236=141+92+3AR​ 236=233+3AR236 = 233 + 3A_R236=233+3AR​ 3AR=33A_R = 33AR​=3 AR=1A_R = 1AR​=1

So each emitted particle has mass number 111.

  1. Use conservation of atomic number

The total atomic number must also be conserved.

  • Left side atomic number: 929292
  • Right side atomic number: 56+36+3ZR56 + 36 + 3Z_R56+36+3ZR​

Thus,

92=56+36+3ZR92 = 56 + 36 + 3Z_R92=56+36+3ZR​ 92=92+3ZR92 = 92 + 3Z_R92=92+3ZR​ 3ZR=03Z_R = 03ZR​=0 ZR=0Z_R = 0ZR​=0

So each emitted particle has atomic number 000.

  1. Identify the particle

A particle with:

  • mass number 111
  • atomic number 000

is a neutron.

Thus,

R=0n1R = {}_0n^1R=0​n1

  1. Check options
  • A: Proton →A=1,Z=1\rightarrow A=1, Z=1→A=1,Z=1 ❌
  • B: Neutron →A=1,Z=0\rightarrow A=1, Z=0→A=1,Z=0 ✅
  • C: Electron →A=0,Z=−1\rightarrow A=0, Z=-1→A=0,Z=−1 ❌
  • D: γ\gammaγ-radiations →A=0,Z=0\rightarrow A=0, Z=0→A=0,Z=0 ❌

Therefore, the correct option is B.

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