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JEE MAINS 2024
25.01.23
Question
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 $A$
Question Tags
JEE Main
Physics
Easy
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