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(II) ($a$) What is the approximate radius of a $^{112}_{48}$Cd nucleus? ($b$) Approximately what is the value of $A$ for a nucleus whose radius is 3.7 $\times$ 10$^{-15}$ m?

a. $5.8 \mathrm{fm}$

b. 29

Nuclear Physics

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Cornell University

Rutgers, The State University of New Jersey

Hope College

McMaster University

30.4 1st we want to find the Radius cabbie and 1 12 And then we want to figure out the approximate mass number for a nucleus that has a radius of 3.7 centimeters. And we use the same equation for both force. So we know that the approximate new radius of a nucleus is this constant. 1.2 centimeters. It's the cube root of the masked number, and so here the mass number is 112 have a so we get 5.8 centimeters. It's going to be the radius of our can be, um, 1 12 nucleus. And here we just sort of invert this for a It's going to be the nuclear radius divided by this constant huge. This gives us 29.3, which can't be fractional. So, rounding to the nearest integer, we get 29