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NEET PHYSICSEasy

In the nuclear reaction X(n,α)37LiX(n, \alpha){}_{3}^{7}\mathrm{Li}, the term XX will be:

A

510B{}_{5}^{10}\mathrm{B}

B

59B{}_{5}^{9}\mathrm{B}

C

511B{}_{5}^{11}\mathrm{B}

D

24He{}_{2}^{4}\mathrm{He}

Step-by-Step Solution

  1. Interpret Reaction Notation: The notation X(n,α)YX(n, \alpha)Y represents a nuclear reaction where a target nucleus XX absorbs a neutron (nn) and emits an \alpha particle (α\alpha) to form the product nucleus YY. The reaction is written as: X+01n37Li+24HeX + {}_{0}^{1}n \rightarrow {}_{3}^{7}\mathrm{Li} + {}_{2}^{4}\mathrm{He} .
  2. Apply Conservation Laws: In any nuclear reaction, both the mass number (AA, sum of protons and neutrons) and the atomic number (ZZ, number of protons) must be conserved .
  • Conservation of Mass Number (AA): AX+1=7+4    AX=10A_X + 1 = 7 + 4 \implies A_X = 10.
  • Conservation of Atomic Number (ZZ): ZX+0=3+2    ZX=5Z_X + 0 = 3 + 2 \implies Z_X = 5.
  1. Identify Element: The element with atomic number Z=5Z=5 is Boron (B). Therefore, the unknown term XX is the isotope Boron-10 (510B{}_{5}^{10}\mathrm{B}).
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