Composition and Size of Nucleus

Two nuclei have mass numbers in the ratio $27:125$. The ratio of their nuclear radii would be:

Two nuclei have mass numbers in the ratio $8:125$. The ratio of their nuclear radii is:

Assuming the nuclei to be spherical in shape how does the surface area of a nucleus of mass number  $A_1$  compare with that of a nucleus of mass number $A_2$ ?

Read the following statements:
(A) Volume of the nucleus is directly proportional to the mass number.
(B) Volume of the nucleus is independent of mass number.
(C) Density of the nucleus is directly proportional to the mass number.
(D) Density of the nucleus is directly proportional to the cube root of the mass number.
(E) Density of the nucleus is independent of the mass number.

Choose the correct option from the following options.

Mass numbers of two nuclei are in the ratio of $4:3$. Their nuclear densities will be in the ratio of

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

Assertion: The density of all the nuclei is the same.

Reason: The radius of the nucleus is directly proportional to the cube root of mass number.

Assertion : $\mathrm{C}$ and $\mathrm{Si}$ both have same lattice structure, having $4$ bonding electrons in each. However, $\mathrm{C}$ is insulator where as $\mathrm{Si}$ is intrinsic semiconductor.
Reason : The four bonding electrons in the case of $\mathrm{C}$ lie in the second orbit, whereas in the case of $\mathrm{Si}$ they lie in the third.

Two protons are separated by $10 \mathrm{\AA }$. Let $F_n$ and $F_e$ be the nuclear force and electrostatic force between them, so

A nucleus $X$ whose mass number is $36,$ is initially at rest. It is dis-integrated into $\alpha$ particle and a daughter nucleus $Y.$ If no $\gamma$-emmission is there, then chose the incorrect atternative.

Which of the following gives the correct number of protons and neutrons in a nucleus of carbon-$14 \left({}_6{}^{14}C\right)?$

Which nucleons in a nucleus are involved in
the Coulomb interaction and the strong short-range nuclear interaction?

The nuclear radius is given by $R=r_0{A}^{1/3},$ where $r_0$ is constant and A is the atomic mass number. Then, the nuclear mass density of ${\mathrm{U}}^{238}$ is

If the radius of an atom is $1 Å,$ the total volume of a mole of these atoms will be

$\gamma$ -rays radiation can be used to create electron-positron pair. In this process of pair production, $\gamma$ -rays energy cannot be less than

The ratio of the radii of the nuclei ${}_{13}\mathrm{Al}^{27}$ and ${}_{52}\mathrm{Te}^{125}$ is approximately:

A nucleus at rest splits into two nuclear parts having same density and the radii in the ratio $1 : 2.$ Their velocities are in ratio_____

The mass number of an atom $A=38$ and its electronic configuration is $1s^2 2 s^2 2p^6 3s^2 3p^4$. The number of neutrons and protons in the nucleus will be

The mass density of a nucleus varies with mass number $A$ as

The ratio of the radii of the nuclei ${}_{13}\mathrm{Al}^{27}$ and ${}_{52}\mathrm{Te}^{125}$ is approximately -