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13.Nuclei
medium
Read the following statements:
$(A)$ Volume of the nucleus is directly proportional to the mass number.
$(B)$ Volume of 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.
A
$(A)$ and $(D)$ only.
B
$(A)$ and $(E)$ only.
C
$(B)$ and $(E)$ only.
D
$(A)$ and $(C)$ only
(JEE MAIN-2022)
Solution
$R \propto A ^{1 / 3}$
$V =\frac{4}{3} \pi R ^{3} \propto A$
Mass $\propto$ A
So density is independent of $A$.
Standard 12
Physics
