Read the following statements :
(A) Volume of the nucleus is directly proportional to the mass number.
(B) volume o the nucleus is independent of mass number.
(C) Density of the nucleus is directly proportional to the mass number.
(D) Density of the nucleus is directly proportional to the cube root of the mass number.
(E) Density of the nucleus is independent of the mass number.
Choose the correct option from the following options.
Select the correct option:
A
(A) and (D) only
B
(A) and (E) only
C
(B) and (E) only
D
(A) and (C) only
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
$$
\begin{aligned}
& \mathrm{R} \propto \mathrm{~A}^{1 / 3} \\
& \mathrm{~V}=\frac{4}{3} \pi \mathrm{R}^3 \propto \mathrm{~A}
\end{aligned}
$$
Mass $\propto A$
So density is independent of $A$.
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