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  • A nucleus of mass number 189 splits into two nuclei having mass numbers 125 and 64. The ratio of the radius of two daughter nuclei respectively is :Option: 1</st

A nucleus of mass number 189 splits into two nuclei having mass numbers 125 and 64. The ratio of the radius of two daughter nuclei respectively is :

Option: 1

4:5


Option: 2

5:4


Option: 3

25:16


Option: 4

1:1


Answers (1)

best_answer

\mathrm{{ }^{189} N \longrightarrow ^{125}N_{1}+^{64}N_{2} }\\

\mathrm{A_{1} =125} \\

\mathrm{A_{2} =64 }

We know that the radius of nuclei and mass number relation is

\mathrm{ R=R_{0} A^{1 / 3}} \\

\mathrm{\therefore \frac{R_{1}}{R_{2}}=\left(\frac{A_{1}}{A_{2}}\right)^{1 / 3}=\frac{5}{4}}

 

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