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The radius of germination (Ge) nuclide is measured to be twice the radius of { }_4^9 \mathrm{Be}. The number of nucleons in Ge are:

Option: 1

72


Option: 2

73


Option: 3

74


Option: 4

75


Answers (1)

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Nuclear radii, \mathrm{R}=\mathrm{R}_0(\mathrm{~A})^{1 / 3} \text { (where } \mathrm{R}_0=1.2 \mathrm{fm} \text { ) }

\text { or } \quad R \propto(A)^{1 / 3}

\therefore \quad \frac{R_{\mathrm{Be}}}{\mathrm{R}_{\mathrm{Ge}}}=\frac{(9)^{1 / 3}}{(\mathrm{~A})^{1 / 3}} \quad \text { or } \quad \frac{\mathrm{R}_{\mathrm{Be}}}{2 \mathrm{R}_{\mathrm{Be}}}=\frac{(9)^{1 / 3}}{(\mathrm{~A})^{1 / 3}}

\therefore(\mathrm{A})^{1 / 3}=2 \times(9)^{1 / 3} \text { or } \quad \mathrm{A}=2^3 \times 9=72

The number of nucleons in Ge is 72.

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Sanket Gandhi

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