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

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

NEETNEET 2022Nuclei

Solution:

Nuclear Radius :
$R = R _{0}( A )^{1 / 3} $
$\frac{ R (125)}{ R (64)}=\frac{ R _{0}(125)^{1 / 3}}{ R _{0}(64)^{1 / 3}}=\frac{5}{4}$