Back to Directory
NEET PHYSICSMedium

If the nucleus 1327Al^{27}_{13}\mathrm{Al} has a nuclear radius of about 3.6 fermis, then 52125Te^{125}_{52}\mathrm{Te} would have its radius approximately as:

A

6.0 Fermi

B

9.6 Fermi

C

12.0 Fermi

D

4.8 Fermi

Step-by-Step Solution

The nuclear radius RR is related to the mass number AA by the relationship R=R0A1/3R = R_0 A^{1/3}, where R0R_0 is a constant (approximately 1.2 fm).

For Aluminum (AlAl), the mass number A1=27A_1 = 27 and radius R1=3.6R_1 = 3.6 fm. For Tellurium (TeTe), the mass number A2=125A_2 = 125.

Taking the ratio: R2R1=(A2A1)1/3\frac{R_2}{R_1} = \left(\frac{A_2}{A_1}\right)^{1/3} R23.6=(12527)1/3\frac{R_2}{3.6} = \left(\frac{125}{27}\right)^{1/3} R23.6=53\frac{R_2}{3.6} = \frac{5}{3} R2=3.6×53=1.2×5=6.0R_2 = 3.6 \times \frac{5}{3} = 1.2 \times 5 = 6.0 fm.

Practice Mode Available

Master this Topic on Sushrut

Join thousands of students and practice with AI-generated mock tests.

Get Started