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Question

Physics Question on Nuclear physics

The ratio of the radii of the nuclei 13Al27_{13}Al^{27} and 52Te125_{52}Te^{125} is

A

13:5213:52

B

27:12527 : 125

C

3:53 : 5

D

14:7314 : 73

Answer

3:53 : 5

Explanation

Solution

As RA1/3R \propto A^{1/3}
RAlRTe=(27)1/3(125)1/3\Rightarrow \frac{R_{Al}}{R_{Te}} = \frac{(27)^{1/3}}{(125)^{1/3}}
RAlRTe=35\frac{R_{Al}}{R_{Te}} = \frac{3}{5}