Nuclear Physics And Radioactivity Question 57
Question: A nucleus with mass number 220 initially at rest emits an a-particle. If the Q value of the reaction is 5.5 MeV, calculate the kinetic energy of the a-particle [IIT JEE (Screening) 2003]
Options:
A) 4.4 MeV
B) 5.4 MeV
C) 5.6 MeV
D) 6.5 MeV
Show Answer
Answer:
Correct Answer: B
Solution:
Q-value of the reaction is 5.5 eV i.e. $ k_{1}+k_{2}=5.5,MeV $ ??(i) By conservation of linear momentum $ p_{1}=p_{2}\Rightarrow \sqrt{2(216)k_{1}}=\sqrt{2(4)k_{2}} $
Þ k2 = 54 k1 ??(ii) On solving equation (i) and (ii) we get k2 = 5.4 MeV.
BETA
