Radius of a nucleus (27-1)

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Question

Radius of a nucleus

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Question

$r_0 = 1.2 \pm 0.2$ fm

{"title":"Radius of a nucleus","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"1,41,27,80\"}]"} {"title":"Mass number of the nucleus (total number of protons and neutrons)","description":"Wrong","type":"incorrect","color":"#ffff00","code":"[{\"shape\":\"rect\",\"coords\":\"142,30,181,79\"}]"} {"title":"r sub 0 = 1.2 ± 0.2 fm","description":"Correct!","type":"correct","color":"#00ff00","code":"[{\"shape\":\"rect\",\"coords\":\"79,41,105,77\"}]"}

Review

The size of a nucleus (its radius and volume) is related to the mass number $A$ . Experiments show that all nuclei are approximately spherical and have radii proportional to the cube root of $A$ , or $A^{1/3}$ :

This equation states that if we increase the number of nucleons in a nucleus by a factor of 10, say from $A = 20$ to $A = 200$ , the radius of the nucleus will increase by a factor of $10^{1/3}= 2.2$ (Figure 27-3).