COMEDK · Physics · 29. Nuclear Physics
The mass density of a nucleus varies with mass number \(A\) as
- A \(\mathop A\limits^o \)
- B \(\dfrac{1}{A}\)
- C \(A^2\)
- D \(\ln A\)
Answer & Solution
Correct Answer
(A) \(\mathop A\limits^o \)
Step-by-step Solution
Detailed explanation
The radius of a nucleus is given by the relation \(R = R_0 A^{1/3}\), where \(R_0\) is a constant and \(A\) is the mass number. The volume of the nucleus is \(V = \dfrac{4}{3} \pi R^3 = \dfrac{4}{3} \pi (R_0 A^{1/3})^3 = \dfrac{4}{3} \pi R_0^3 A\). The mass of the nucleus is…
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