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 :

Question

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 : (A) 25: 16 (B) 1: 1 (C) 4: 5 (D) 5: 4

Tardigrade Admin · Accepted Answer

Nuclear Radius: R = R 0( A )1 / 3 ( R (125)/ R (64))=( R 0(125)1 / 3/ R 0(64)1 / 3)=(5/4)

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 :

$25 : 16$

$1 : 1$

$4 : 5$

$5 : 4$

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

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 :

25:16

1:1

4:5

5:4