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Question:
The volume of a nucleus is directly proportional to .........
The volume of a nucleus is directly proportional to .........
Updated On: May 30, 2022
- $A^{1/3}$
- $\sqrt{A}$
- $A^{3}$
- $A$
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The Correct Option is D
Solution and Explanation
Radius of nucleus $R = R_0A^{1/3}$
where $R_0 = 1.2 \times 10^{-15}$ m
Volume of nucleus $ = \frac{4}{3} \pi R^{3} $
$ = \frac{4}{3} \pi\left[R_{0} A^{1/3}\right]^{3} $
$ = \frac{4}{3} \pi R_{0}^{3} A$
$ \therefore \; V \propto A $
where $R_0 = 1.2 \times 10^{-15}$ m
Volume of nucleus $ = \frac{4}{3} \pi R^{3} $
$ = \frac{4}{3} \pi\left[R_{0} A^{1/3}\right]^{3} $
$ = \frac{4}{3} \pi R_{0}^{3} A$
$ \therefore \; V \propto A $
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In the year 1911, Rutherford discovered the atomic nucleus along with his associates. It is already known that every atom is manufactured of positive charge and mass in the form of a nucleus that is concentrated at the center of the atom. More than 99.9% of the mass of an atom is located in the nucleus. Additionally, the size of the atom is of the order of 10-10 m and that of the nucleus is of the order of 10-15 m.
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