CUET · PHYSICS · PYQ PAPER 2025
Which of the following statements are correct?
(A) A nucleus of mass number A has a radius R given by the expression \( R = R_0 A^{1/3} \)
(B) Volume of nucleus is proportional to mass number A
(C) The density of nucleus increases with the radius of nucleus.
(D) Density of nuclear matter does not depend on its mass number A
Choose the correct answer from the options given below:
- A (A), (B) and (C) only
- B (A), (B), (C) and (D)
- C (A), (B) and (D) only
- D (B) and (C) only
Answer & Solution
Correct Answer
(C) (A), (B) and (D) only
Step-by-step Solution
Detailed explanation
(A) Correct. (B) \( V = \frac{4}{3}\pi R^3 = \frac{4}{3}\pi (R_0 A^{1/3})^3 = \frac{4}{3}\pi R_0^3 A \). Thus \( V \propto A \). Correct. (C) \( \rho = \frac{\text{Mass}}{\text{Volume}} \approx \frac{A \cdot m_p}{\frac{4}{3}\pi R_0^3 A} = \frac{m_p}{\frac{4}{3}\pi R_0^3} \).…
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