As the mass number A increases, which of the | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The radius of the atomic nucleus in terms of mass number $A$ is given by $R = R_0 A^{1/3}$.As the mass number $A$ increases, the mass of the nucle

Vedclass · Accepted Answer

density

Vedclass · Answer

(C) The radius of the atomic nucleus in terms of mass number $A$ is given by $R = R_0 A^{1/3}$.As the mass number $A$ increases, the mass of the nucleus $(M \approx A \cdot m_p)$ and the volume of the nucleus $(V = \frac{4}{3} \pi R^3 = \frac{4}{3} \pi R_0^3 A)$ both increase.Binding energy also changes as the number of nucleons increases.However, the nuclear density $ho$ is given by:$ho = \frac{	ext{mass of nucleus}}{	ext{volume of nucleus}} = \frac{m A}{\frac{4}{3} \pi R^3} = \frac{m A}{\frac{4}{3} \pi (R_0 A^{1/3})^3} = \frac{m A}{\frac{4}{3} \pi R_0^3 A} = \frac{3m}{4 \pi R_0^3}$.Since $m$ (average nucleon mass) and $R_0$ are constants, the nuclear density is independent of the mass number $A$ and remains constant.

As the mass number $A$ increases, which of the following quantities related to a nucleus does not change?

Similar Questions

The radius of the nucleus of ${ }_{13}^{27} Al$ is $\qquad$ . (Given: $R_{0}=1.2 \text{ fm}$)

An unknown nucleus has a nuclear density of $2.29 \times 10^{17} \text{ kg/m}^3$ and mass of $19.926 \times 10^{-27} \text{ kg}$. Its mass number $A$ is approximately: (Take $R_0 = 1.2 \times 10^{-15} \text{ m}$, $4\pi = 12.56$)

Write the formula for the average radius of a nucleus.

Why is radioactivity considered a nuclear phenomenon?

The nuclear forces are

Vedclass Test Series

Exam Paper Generator

Online Exam Module