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the radius of a nucleus of mass no. 16 is 3 Fermi.Find the radius of the nucleus of mass no. 128?

the radius of a nucleus of mass no. 16 is 3 Fermi.Find the radius of the nucleus of mass no. 128?


 

Grade:12

3 Answers

Ramesh V
70 Points
12 years ago

Average radius if nucleus is given by:

R = R0A1/3       A:mass number    R0 = 1.1x10-15m =1.1 fermi

so, R1/R2 = (A1/A2)1/3

given R1 = unknown ,    R2 = 3 fm  , A1 = 128  ,      A2 = 16

So, R1 = 2*(128/16)1/3

R1 = 6 fermi

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Ramesh V
70 Points
12 years ago

A small mistake from above solution

its

So, R1 = 3*(128/16)1/3

R1 = 6 fermi

Rishi Sharma
askIITians Faculty 646 Points
one year ago
Dear Student,
Please find below the solution to your problem.

Average radius if nucleus is given by:
R = R0A^(1/3) A:mass number R0 = 1.1x10-15m =1.1 fermi
so, R1/R2 = (A1/A2)^1/3
given R1 = unknown , R2 = 3 fm , A1 = 128 , A2 = 16
So, R1 = 3*(128/16)^1/3
R1 = 6 fermi

Thanks and Regards

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