In a nuclear fission reaction of an isotope of mass M, three similar daughter nuclei of same mass are formed. The speed of a daughter nucleus in terms of mass defect M will be :
- c 3 MM
- Mc23
- c 2 MM
- 2c MM
Answer
(3) c 2 MM
Solution
M M3+ M3+ M3 (equal masses, equal speeds v)
the energy released Mc2 appears as kinetic energy of the daughters.
Mc2=3 12 ( M3 )v2= 12Mv2
v=c 2 MM
Answer: (3)