Nuclei - Result Question 9

9. The volume occupied by an atom is greater than the volume of the nucleus by a factor of about

(a) $10^{15}$

(b) $10^{1}$

(c) $10^{5}$

(d) $10^{10}$

[2003]

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Answer:

Correct Answer: 9. (a)

Solution:

(a) $V \propto r^{3} \Rightarrow V _{\text{atom }}=\frac{r _{\text{atom }}^{3}}{r _{\text{nuclers }}^{3}} \times V _{\text{nucleus }}$

But $\frac{r _{\text{nucleus }}}{r _{\text{atom }}}=(\frac{1}{10^{5}})^{3}$

Hence, $V _{\text{atom }}=10^{15} \times V _{\text{nucleus }}$



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