The ratio of radii of nuclei 27 13 Al and 125 52 Te is approximately Options: A . &nbsp6 : 10 B . &nbsp13 : 52 C . &nbsp40 : 177 D . &nbsp14 : 7

Answer: Option A : A By using r ∝ A 1 3 ⇒ r 1 r 2 = ( A 1 A 2 ) 1 3 = ( 27 125 ) 1 3 = 3 5 = 6 10

The ratio of radii of nuclei 2713 Al and 12552 Te is approximately

Question

The ratio of radii of nuclei

_{13}^{27}

Al and

_{52}^{125}

Te is approximately

Options:

A . 6 : 10

B . 13 : 52

C . 40 : 177

D . 14 : 7

Answer: Option A
:
A
By using

r \propto A^{\frac{1}{3}} \Rightarrow \frac{r_{1}}{r_{2}} = {(\frac{A_{1}}{A_{2}})}^{\frac{1}{3}} = {(\frac{27}{125})}^{\frac{1}{3}} = \frac{3}{5} = \frac{6}{10}

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