Atomic 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 $A_2$ ?

A nucleus that was initially kept at rest, breaks into two parts. The velocity of the parts after break off is in the ratio $27:8$ . Then the ratio of radii of the parts is:

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

Nuclei exhibit a phenomenon known as saturation: the volume of nuclei increases proportionally to the number of.

The correct statements about nuclear force is/are

Consider the following statements $(\mathrm{X}$ and $\mathrm{Y}$ stand for two different elements$)$

$\mathrm{I}.$ $32{\mathrm{X}}^{65}$ and ${}_{33}\mathrm{Y}^{65}$ are isotopes.

$\mathrm{II}.$ $42X^{86}$ and $42Y^{85}$ are isotopes.

$\mathrm{III}.$ $85{\mathrm{X}}^{174}$ and $88{\mathrm{Y}}^{177}$ have the same number of neutrons.

$\mathrm{IV}.$ $92X^{235}$ and ${}_{94}\mathrm{Y}^{235}$ are isobars.

The correct statements are:

Two nuclei have mass numbers in the ratio$27:125$. What is the ratio of their nuclear radii? 

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 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

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

A nucleus ruptures into two nuclear parts which have their velocity ratio equal to $2:1$,  What will be the ratio of their nuclear size (nuclear radius):-

If an $\mathrm{H}$-nucleus is completely converted into energy, the energy produced will be around

The nucleus of an atom consists of

Which one of the following particle is unstable?