If the radii of nuclei of 13 A l 27 and 30 Z n 64 are R 1 and R 2 respectively, then R 1 R 2 =

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Question: Answered & Verified by Expert

If the radii of nuclei of

_{13} A l^{27}

and

_{30} Z n^{64}

are

R_{1}

and

R_{2}

respectively, then

\frac{R_{1}}{R_{2}} =

PhysicsNuclear PhysicsJEE Main

Options:

A $\frac{64}{27}$
B $\frac{3}{4}$
C $\frac{27}{64}$
D $\frac{4}{3}$

Solution:

1402 Upvotes Verified Answer

The correct answer is:

\frac{3}{4}

Given $R_{1}$ and $R_{2}$ are the radii of atomic nuclei of mass number $27$ and $64$ respectively, then the ratio

$\frac{R_{1}}{R_{2}} = {(\frac{A_{1}}{A_{2}})}^{\frac{1}{3}} = \frac{27}{64} = \frac{3}{4}$

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