The ratio of the density of oxygen nucleus and helium nucleus is
Select the correct option:
A
4 : 1
B
8 : 1
C
1 : 1
D
2 : 1
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Sol. Nuclear density is independent of mass numb
$$
\text { As nuclear density }=\frac{\mathrm{Au}}{\frac{4}{3} \pi \mathrm{R}^3}
$$
Also, $\mathrm{R}=\mathrm{R}_0 \mathrm{~A}^{1 / 3}$
And $R^3=R_0^3 A$
$$
\begin{aligned}
& \Rightarrow \text { Nuclear density }=\frac{\mathrm{Au}}{\frac{4}{3} \pi \mathrm{R}_0^3 \mathrm{~A}} \\
& \text { Nuclear density }=\frac{3 \mathrm{u}}{4 \pi \mathrm{R}_0^3}
\end{aligned}
$$
⇒ Nuclear density is independent of $A$
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