The ratio of radii of two nuclei having atomic mass numbers 27 and 8 respectively, will be :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → \( \displaystyle\frac{R_1}{R_2} = \frac{3}{2} \)
The radius of a nucleus grows as the cube root of its mass number, because the nuclear density is the same for all nuclei.
\( \displaystyle R = R_0\,A^{1/3} \)
\( \displaystyle \frac{R_1}{R_2} = \left(\frac{A_1}{A_2}\right)^{1/3} = \left(\frac{27}{8}\right)^{1/3} = \frac{3}{2} \)