Nuclei practice · Mixed difficulty

What are the respective number of $\alpha$ and $\beta^-$ particles emitted in the following radioactive decay?
$_{90}^{200}X \to \,_{82}^{172}Y$

Hydrogen bomb is based on which of the following phenomenon

In the nuclear decay given below:

${ }_{\mathrm{Z}}^{\mathrm{A}} \mathrm{X} \longrightarrow{ }_{\mathrm{Z}+1}^{\mathrm{A}}\mathrm{Y} \longrightarrow{ }_{\mathrm{Z}-1}^{\mathrm{A}-4} \mathrm{~B}^* \longrightarrow{ }_{\mathrm{Z}-1}^{\mathrm{A}-4} \mathrm{~B} \text {, }$

the particles emitted in the sequence are

In nuclear reactions, we have the conservation of

Select the true statement from the following. Nuclear force is

Which is the correct expression for half-life

Sun maintains its shining because of the

At $t = 0$, a radioactive substance has a mass m. Its half-life is 10 minutes. When $t = {t_1}$, the amount of substance disintegrated is m/5 and when $t = {t_2}$, the amount of substance disintegrated is 3m/5. Then the time interval $({t_2} - \mathrm{ }{t_1})$ is

When a sample of atoms is irradiated by neutrons, radioactive atoms are produced at a constant rate $R$, which decay with decay constant $\lambda$. The number of radioactive atoms accumulated after an irradiation time $t$ is given by

Mark the correct statement

$\pi$ mesons can be

If a proton is completely converted into energy, the amount of energy produced will be

Two nuclei have their mass numbers in the ratio of $\mathrm{1:3}$. The ratio of their nuclear densities would be

Statement I : Energy is released when heavy nuclei undergo fission or light nuclei undergo fusion.

Statement II : For heavy nuclei, binding energy per nucleon increases with increasing Z while for light nuclei it decreases with increasing $\mathrm{Z}$.

In a nuclear fission reaction of an isotope of mass $M$, three similar daughter nuclei of same mass are formed. The speed of a daughter nuclei in terms of mass defect $\Delta M$ will be:

Which of the following is in the increasing order for penetrating power

Assertion : Size of nucleus is constant in electron scattering or gamma scattering.

Reason : Electron scattering or gamma scattering is controlled by distribution of charge in
nucleus.

A nuclear decay is expressed as $C_6^{11} \to B_5^{11} + {\beta ^ + } + X$. Then the unknown particle X is

If half life of radium is $\mathrm{77 }\,\mathrm{days}$. Its decay constant in day will be

Which of the following nuclear reactions is not possible?

The volume of a nucleus is directly proportional to
(where $A =$ mass number of the nucleus)

Consider the following statements
$\mathrm{S1}$ : The nuclear force is independent of the charge of nucleons
$\mathrm{S2}$ : The number of nucleons in the nucleus of an atom is equal to the number of electrons in the atom
$\mathrm{S3}$ : All nuclei have masses that are less than the sum of the masses of constituent nucleons
$\mathrm{S4}$ : Nucleons belong to the family of leptons while electrons are members of the family of hadrons
Choose the correct statement ($\mathrm{s}$) from these

Which one of the following nuclear reaction is a source of energy in the sun?

The particle $A$ is converted into $C$, $via$ following reaction.
$A \to B{ + _2}\mathrm{H}{\mathrm{e}^4}$
$B \to C\,\, + \,\,2{e^ - }$

Radioactive decay will occur as follows

$\begin{aligned} & { }_{86}^{22} {Rn} \rightarrow{ }_{84}^{216} {PO}+{ }_2^5 {He} \text { half life }=55 {~s} \\ & { }_{84}^{216} {Po} \rightarrow{ }^{212} {~Pb}+{ }_2^4 {He} \text { half life }=0.66 {~s} \\ & { }_{82}^{82} {~Pb} \rightarrow{ }_{82}^{212} {BL}+\lambda^{\circ} e \text { Half life }=10.6 {~h} \end{aligned}$

If a certain mass of radon $({Rn}=220)$ is allowed to decay in a certain container; then after 5 minutes the element with the greater mass will be

Which of the following are suitable for the fusion process?

If a ${H_2}$ nucleus is completely converted into energy, the energy produced will be around

Two nuclei have their mass numbers in the ratio of 1 : 27. The ratio of their volume is

It is observed that only $0.39 \%$ of the original radioactive sample remains undecayed after eight hours select the incorrect statement :-

Consider the binding energy of ${ }_{17} {Cl}^{35}$ and ${ }_{15} {P}^{31}$ are 287.67 MeV and $262.48 {MeV}$, respectively. Then,