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Wave Optics

Question

Two nuclei have mass numbers in the ratio 27:125. What is the ratio of their nuclear radii?

Solution

Given,
Rato of mass numbers , $A_{1} : A_{2} = 27 : 125$

$\Rightarrow$ $\frac{A_{1}}{A_{2}} = \frac{27}{125}$

Radius of nucleus is, $R = R_{0} A^{1 / 3}$

Therefore,
$\frac{R_{1}}{R_{2}} = {(\frac{A_{1}}{A_{2}})}^{1 / 3} = {(\frac{27}{125})}^{1 / 3} = \frac{3}{5}$

Thus, Ratio of radii is 3:5.

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Wave Optics

Two nuclei have mass numbers in the ratio 27:125. What is the ratio of their nuclear radii?

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