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Question

Chemistry Question on Bohr’s Model for Hydrogen Atom

The size of the nucleus of an atom of mass number AA is proportional to

A

A3/4A^{3/4}

B

A2/3A^{2/3}

C

A1/3A^{1/3}

D

A5/3A^{5/3}

Answer

A1/3A^{1/3}

Explanation

Solution

Nuclear radius is proportional to A1/3A^{1 / 3}, where AA is the mass number of nucleus, ie, RA1/3R \propto A^{1 / 3}. R=R0A1/3\Rightarrow R=R_{0} A^{1 / 3}. where R0=1.2×1015mR_{0}=1.2 \times 10^{-15} m