Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The density of the copper ( 29 64 Cu ) nucleus is greater than that of the c

Question

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : The density of the copper $(_{29}^{64} Cu)$ nucleus is greater than that of the carbon $(_{6}^{12} C)$ nucleus.
Reason (R): The nucleus of mass number A has a radius proportional to $A^{1/3}$ .
In the light of the above statements, choose the most appropriate answer from the options given below :

Options:

Answer:

B

Solution:

$ρ = \frac{M}{V} = \frac{m _{n} \times A}{\frac{4}{3} π R ^{3}} = \frac{m _{n} \times A}{\frac{4}{3} π AR _{0}^{3}}$
So $ρ$ is almost is constant
$R = R_{0} A^{1/3} R \propto A^{1/3}$

TestHub · Accepted Answer

ρ = V M ​ = 3 4 ​ π R 3 m n ​ × A ​ = 3 4 ​ π AR 0 3 ​ m n ​ × A ​ So ρ is almost is constant ​ R = R 0 ​ A 1/3 R ∝ A 1/3 ​

Physics - Nuclear Physics Question with Solution | TestHub

Options:

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