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Question: The ratio of the nuclear radii of the gold isotope \({}_{79}^{197}Au\) and silver isotope \({}_{47}^...

The ratio of the nuclear radii of the gold isotope 79197Au{}_{79}^{197}Au and silver isotope 47107Ag{}_{47}^{107}Agis

A

1.231.23

B

0.2160.216

C

2.132.13

D

3.463.46

Answer

1.231.23

Explanation

Solution

: Here A1=197A_{1} = 197andA2=107A_{2} = 107

R1R2=(A1A2)1/3=(197107)1/3=1.225\therefore\frac{R_{1}}{R_{2}} = \left( \frac{A_{1}}{A_{2}} \right)^{1/3} = \left( \frac{197}{107} \right)^{1/3} = 1.225