Atoms And Nuclei Question 254

Question: A nucleus of $ _{84}^{210}Po $ originally at rest emits a particle with speed v. What will be the recoil speed of the daughter nucleus [DCE 2002]

Options:

A) 4v/206

B) 4v/214

C) v/206

D) v/214

Show Answer

Answer:

Correct Answer: A

Solution:

$ _{84}Po^{210}\to _{82}X^{206}+ _{2}He^{4} $ Using conservation of linear moments $ 206,{v}’+4v=0\Rightarrow {v}’=-\frac{4v}{(206)} $

$ \Rightarrow ,|{v}’|,=\frac{4v}{206} $



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