for uranium nucleus how does its mass vary with volume

For uranium nucleus how does its mass vary with volume?

A. $$m \propto V$$

B. $$m \propto \frac{1}{V}$$

C. $$m \propto \sqrt V $$

D. $$m \propto {V^2}$$

Answer : $$m \propto V$$

Solution :
KEY CONCEPT : We know that radius of the nucleus $$R = {R_0}{A^{\frac{1}{3}}},$$ where $$A$$ is the mass number.
$$\eqalign{ & \therefore {R^3} = R_0^3A \cr & \Rightarrow \frac{4}{3}\pi {R^3} = \frac{4}{3}\pi R_0^3A \Rightarrow {\text{Volume}} \propto {\text{mass}}{\text{.}} \cr} $$

Releted MCQ Question on
Modern Physics >> Atoms And Nuclei

Releted Question 1

If elements with principal quantum number $$n > 4$$ were not allowed in nature, the number of possible elements would be

A. 60

B. 32

C. 4

D. 64

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Releted Question 2

Consider the spectral line resulting from the transition $$n = 2 \to n = 1$$ in the atoms and ions given below. The shortest wavelength is produced by

A. Hydrogen atom

B. Deuterium atom

C. Singly ionized Helium

D. Doubly ionised Lithium

View Answer

Releted Question 3

An energy of $$24.6\,eV$$ is required to remove one of the electrons from a neutral helium atom. The energy in $$\left( {eV} \right)$$ required to remove both the electrons from a neutral helium atom is

A. 38.2

B. 49.2

C. 51.8

D. 79.0

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Releted Question 4

As per Bohr model, the minimum energy (in $$eV$$ ) required to remove an electron from the ground state of doubly ionized $$Li$$ atom $$\left( {Z = 3} \right)$$ is

A. 1.51

B. 13.6

C. 40.8

D. 122.4

View Answer

For uranium nucleus how does its mass vary with volume?

Releted MCQ Question on
Modern Physics >> Atoms And Nuclei

If elements with principal quantum number $$n > 4$$ were not allowed in nature, the number of possible elements would be

Consider the spectral line resulting from the transition $$n = 2 \to n = 1$$ in the atoms and ions given below. The shortest wavelength is produced by

An energy of $$24.6\,eV$$ is required to remove one of the electrons from a neutral helium atom. The energy in $$\left( {eV} \right)$$ required to remove both the electrons from a neutral helium atom is

As per Bohr model, the minimum energy (in $$eV$$ ) required to remove an electron from the ground state of doubly ionized $$Li$$ atom $$\left( {Z = 3} \right)$$ is

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For uranium nucleus how does its mass vary with volume?

Releted MCQ Question on Modern Physics >> Atoms And Nuclei

If elements with principal quantum number $$n > 4$$ were not allowed in nature, the number of possible elements would be

Consider the spectral line resulting from the transition $$n = 2 \to n = 1$$ in the atoms and ions given below. The shortest wavelength is produced by

An energy of $$24.6\,eV$$ is required to remove one of the electrons from a neutral helium atom. The energy in $$\left( {eV} \right)$$ required to remove both the electrons from a neutral helium atom is

As per Bohr model, the minimum energy (in $$eV$$ ) required to remove an electron from the ground state of doubly ionized $$Li$$ atom $$\left( {Z = 3} \right)$$ is

Practice More Releted MCQ Question on Atoms And Nuclei

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