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Q. $ ^{22}Ne$ nucleus, after absorbing energy, decays into two $\alpha-$ particles and an unknown nucleus. The unknown nucleus is

IIT JEEIIT JEE 1999

Solution:

Atomic number of neon is 10.
By the emission of two $\alpha-$ particles, atomic number will be
reduced by 4. Therefore, atomic number of the unknown
element will be $Z = 1 0 - 4 = 6$
Similarly, mass number of the unknown element will be
$\, \, \, \, \, \, \, A = 22 - 2 \times 4 = 14$
Unknown nucleus is carbon $(A = 14, Z = 6)$.