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  • The ratio of radii of nuclei  and <img alt=

The ratio of radii of nuclei \mathrm{13 \mathrm{Al}^{27} } and \mathrm{52 x^A is 3.5 , } the number of neutrons in the nuclei of x will be -

Option: 1

52


Option: 2

73


Option: 3

125


Option: 4

13


Answers (1)

best_answer

Use.
\mathrm{ \begin{aligned} & \frac{\gamma_{A l}}{\gamma_x}=\left(\frac{A_{A l}}{A_x}\right)^{\frac{1}{3}} \\ & \frac{3}{5}=\left(\frac{27}{A}\right)^{1 / 3} \\ & \frac{27}{125}=\frac{27}{A} \\ & A=125 \end{aligned} }
Now, No of neutrons in the nuceli of x
\mathrm{\begin{aligned} N=A-Z & =125-52 \\ & =73 \text { Ans. } \end{aligned} }

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