Question

The ratio of the atomic numbers of two atoms is 1:27. Ratio of their nuclear radius is​

Answer 1

Answer -

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• Nuclei. Two nuclei have mass numbers in the ratio 27:125. What is the ratio of their nuclear radii.Thus, Ratio of radii is 3:5

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Answer 2

The ratio of their nuclear radius is 1:3.

Explanation:

Given that, the ratio of the atomic numbers of two atoms is 1:27.

We now that the ratio of the nucleus is given by :

$R=R_oA^{1/3}$

A is the atomic numbers

$\dfrac{R_1}{R_2}=(\dfrac{A_1}{A_2})^{1/3}$

$\dfrac{R_1}{R_2}=(\dfrac{1}{27})^{1/3}$

$\dfrac{R_1}{R_2}=\dfrac{1}{3}$

So, the ratio of their nuclear radius is 1:3. Hence, this is the required solution.

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The ratio of the atomic numbers of two atoms is 1:27. Ratio of their nuclear radius is​?

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