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

Particles and their anti-particles have

The composition of an $\alpha$-particle can be expressed as:

How is the radius of the nucleus estimated? Write its relation to the radius and atomic mass number.

The volume occupied by an atom is greater than the volume of the nucleus by a factor of about

The sodium nucleus $_{11}^{23}\text{Na}$ contains

Vedclass Test Series

Exam Paper Generator

Online Exam Module