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NEET PHYSICSEasy

When a uranium isotope 92235U_{92}^{235}\mathrm{U} is bombarded with a neutron, it generates 3689Kr_{36}^{89}\mathrm{Kr}, three neutrons and:

A

4091Zr_{40}^{91}\mathrm{Zr}

B

36101Kr_{36}^{101}\mathrm{Kr}

C

36103Kr_{36}^{103}\mathrm{Kr}

D

56144Ba_{56}^{144}\mathrm{Ba}

Step-by-Step Solution

  1. Conservation Laws: In any nuclear reaction, both the mass number (AA) and the atomic number (ZZ) must be conserved.
  2. Reaction Equation: The given fission reaction can be written as: 92235U+01n3689Kr+301n+ZAX_{92}^{235}\mathrm{U} + _{0}^{1}\mathrm{n} \rightarrow _{36}^{89}\mathrm{Kr} + 3_{0}^{1}\mathrm{n} + _{Z}^{A}\mathrm{X}
  3. Balancing Mass Number (AA): 235+1=89+3(1)+A235 + 1 = 89 + 3(1) + A 236=92+A    A=23692=144236 = 92 + A \implies A = 236 - 92 = 144
  4. Balancing Atomic Number (ZZ): 92+0=36+3(0)+Z92 + 0 = 36 + 3(0) + Z 92=36+Z    Z=9236=5692 = 36 + Z \implies Z = 92 - 36 = 56
  5. Identification: The element with atomic number Z=56Z=56 is Barium (Ba). Thus, the missing nucleus is 56144Ba_{56}^{144}\mathrm{Ba}.
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