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Question

The radius of Germanium (Ge) nuclide is measured to be twice the radius of 94Be. The number of nucleons in Ge are:

A
73
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B
74
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C
75
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D
72
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Solution

The correct option is D 72
Let the radius of 4Be9 nucleus be r. Then the radius of germanium (Ge) nucleus is 2r. The radius of a nucleus is given by :

R=Ro×A1/3

R1R2=(A1A2)1/3

r2r=(9A2)1/3

(12)1/3=9A2
Hence, A2=9×(2)3
=9×8
=72.

Hence the correct option is D.

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