Solveeit Logo

Question

Physics Question on Nuclear physics

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

1:1

B

4:5

C

5:4

D

25:16:00

Answer

5:4

Explanation

Solution

The correct answer is (c).
We know that
R=R0A(13)R = R_0A(\frac{1}{3})
R1=R0(125)(13)=5R0R_1 = R_0(125)(\frac{1}{3}) = 5R_0
R2=R0(64)(13)=4R0R_2 = R_0(64)(\frac{1}{3}) = 4R_0
R1R2=54\frac{R_1}{R_2} = \frac{5}{4}