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Question:

Two spherical nuclei have mass numbers 216 and 64 with their radii R1 and R2 respectively. The ratio, R1/R2 is equal to?

1 : 2

2 : 3

3 : 2

1 : 3

Solution:

The correct option is A 3 : 2
The relation between radius (R) of nuclei and mass number (A) is given by
R = R0A^(1/3)
where R0 = empirical constant.
Thus, R1/R2 = A1^(1/3) / A2^(1/3) = (216)^(1/3) / (64)^(1/3) = 6/4 = 3/2