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 $A_2$ ?

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R

Assertion A : The nuclear density of nuclides ${}_5{}^{10}B, {}_3{}^{6}Li, {}_{26}{}^{56}Fe, {}_{10}{}^{20}Ne \text{and} {}_{83}{}^{209}Bi$ can be arranged as ${\rho }_{Bi}^N>{\rho }_{Fe}^N>{\rho }_{Ne}^N>{\rho }_B^N>{\rho }_{Li}^N$

Reason R : The radius $R$ of nucleus is related to its mass number $A$ as $R=R_0 A^{\frac{1}{3}}$, where $R_0$ is a constant.

In the light of the above statement, choose the correct answer from the options given below :

If the rate of emission of energy from a star is $2.7\times {10}^{36} \mathrm{J} {\mathrm{s}}^{-1}$, the rate of loss of mass in the star will be

If the nucleus has a density of $2\times {10}^{17}\mathrm{kg} {\mathrm{m}}^{-3}$, then how does water have the density of $2 \times {10}^3 \mathrm{kg} {\mathrm{m}}^{-3}$ when it is made up of so many nuclei?

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

Nucleus was discovered in

What is $E=∆m{c}^2$?

Derive $E=m{c}^2$.

In the process of nuclear fission of $1 \mathrm{g}$ uranium, the mass lost is $0.92 \mathrm{mg}$. The efficiency of power house run by the fission reactor is $10\%$. To obtain $400$ megawatt power from the power house, how much uranium will be required per hour (in $\mathrm{mg}$)?

(Take, $c=3\times {10}^8 \mathrm{m} {\mathrm{s}}^{-1} \text{and} \frac{4}{23}=0.174$) 

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?

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

The voltage applied to an $X$-ray tube is $18 \mathrm{kV}.$ The maximum equivalent mass of photon emitted by the $X$-ray tube will be:

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?