JEE Mains · Physics · STD 12 - 13. Nuclei
For a nucleus of mass number \(A\) and radius \(R\), the mass density of nucleus can be represented as how?
- A \(\mathrm{A}^3\)
- B \(\mathrm{A}^{\frac{1}{3}}\)
- C \(\mathrm{A}^{\frac{2}{3}}\)
- D Independent of A
Answer & Solution
Correct Answer
(D) Independent of A
Step-by-step Solution
Detailed explanation
The mass density ( \(\rho\)) of a nucleus is defined as the ratio of its mass to its volume: \(\rho=\) Mass of nucleus / Volume of nucleus For a spherical nucleus with radius R , the volume is: \(\text { Volume }=(4 / 3) \pi R^3\) The mass of the nucleus is related to the mass…
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