CUET · PHYSICS · PYQ PAPER 2025
The ratio of densities of nuclei with mass numbers A and 2A, respectively is
- A \(1: 2\)
- B \(2: 1\)
- C \(1: 1\)
- D \(1: 2^{\frac{1}{3}}\)
Answer & Solution
Correct Answer
(C) \(1: 1\)
Step-by-step Solution
Detailed explanation
\(R = R_0 A^{\frac{1}{3}}\) \(V = \frac{4}{3} \pi R^3 = \frac{4}{3} \pi (R_0 A^{\frac{1}{3}})^3 = \frac{4}{3} \pi R_0^3 A\) \(\rho = \frac{M}{V} = \frac{A m_p}{\frac{4}{3} \pi R_0^3 A} = \frac{m_p}{\frac{4}{3} \pi R_0^3}\) \(\rho\) is independent of A.…
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