Question
Physics Question on Atoms and Nuclei
As per Nuclear Physics, there is a close relationship between mass num ber and radius of the nucleus. If the mass number of A is 216 and the mass number of B is 27, then the ratio of nuclear radius rBrA of the two elements is:
A
2 : 1
B
4 : 1
C
6 : 1
D
8 : 1
Answer
2 : 1
Explanation
Solution
The nuclear radius r is related to the mass number A as:
r∝A1/3
Thus, the ratio of the nuclear radii of A and B is given by:
rBrA=(ABAA)1/3=(27216)1/3=(8)1/3=2
Thus, the correct answer is (1)2:1.