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Question: If radius of the \({}_{13}^{27}Al\) nucleus is estimated to be 3.6 Fermi, then the radius of \({}_{5...

If radius of the 1327Al{}_{13}^{27}Al nucleus is estimated to be 3.6 Fermi, then the radius of 52125Te{}_{52}^{125}Tenucleus be nearly-

A

4 Fermi

B

5 Fermi

C

6 Fermi

D

8 Fermi

Answer

6 Fermi

Explanation

Solution

r µ A1/3 Ž = (ATeAAl)1/3\left( \frac { \mathrm { A } _ { \mathrm { Te } } } { \mathrm { A } _ { \mathrm { Al } } } \right) ^ { 1 / 3 }

= (12527)1/3\left( \frac { 125 } { 27 } \right) ^ { 1 / 3 }

rTe = 53\frac { 5 } { 3 } × rAl = 53\frac { 5 } { 3 } × 3.6 = 6 fermi