If r₁ and r₂ are radii of atomic nuclei of mass number 64 and 125 respectively, then ratio (r₁

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13.Nuclei

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If $r_1$ and $r_2$ are the radii of the atomic nuclei of mass number $64$ and $125$ respectively, then the ratio $(r_1/r_2)$ is

A

$\frac{64}{125}$

B

$\sqrt {\frac{{64}}{{125}}} $

C

$\frac{5}{4}$

D

$\frac{4}{5}$

Solution

$\mathrm{r}=\mathrm{r}_{0} \mathrm{A}^{1 / 3}$

$\frac{\mathrm{r}_{1}}{\mathrm{r}_{2}}=\left(\frac{\mathrm{A}_{1}}{\mathrm{A}_{2}}\right)^{1 / 3}=\left(\frac{64}{125}\right)^{1 / 3}=\frac{4}{5}$

Standard 12

Physics

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