Nuclei practice · Medium

Choose the suitable condition in order to carry out the nuclear reaction

${ }_1 \mathrm{H}^1+{ }_1 \mathrm{H}^1+{ }_1 \mathrm{H}^2={ }_2 \mathrm{H}^4+{ }_1 \mathrm{e}^0+\text { energy }$

A nuclear reactor delivers a power of $10^9 {~W}$. What is the amount of fuel consumed by the reactor in one hour?

In an experiment, the activity of 1.2 milligrams of radioactive potassium chloride (chloride of isotope $\mathrm{K}-40$ ) was found to be $170 \mathrm{~s}^{-1}$. Taking molar mass of to be $0.075 \mathrm{~kg} \mathrm{~mole}^{-1}$, find the number of $K-40$ atoms in the same and hence find the half-life of K-40. Avogadros' number $=6.0 \times 10^{23}$ mole $^{-1}$.

The ratio of molecular mass of two radioactive substances is $\mathrm{3/2}$ and the ratio of their decay constants is $\mathrm{4/3}$. Then, the ratio of their initial activity per mole will be

Mean life of neutron is about

Calculate the radius of $\mathrm{Ge}^{70}$. Given $R_0=1.1 \mathrm{~fm}$

In a fission process, nucleus $A$ divides into two nuclei $B$ and $C$, their binding energies being ${E_a},{E_b}$ and ${E_c}$ respectively. Then

A radioactive sample has $6.0 \times 10^{18}$ active nuclei at a certain instant. How many of these nuclei will still be in the same active state after two half-lives?

The mass number of $He$ is $\mathrm{4}$ and that for sulphur is $\mathrm{32}$. The radius of sulphur nucleus is larger than that of helium, by times

${O}_2$ molecule consists of two oxygen atoms. In the molecule, nuclear force between the nuclei of the two atoms

A heavy nucleus $\mathrm{X}$ of mass number 240 and binding energy per nucleon $7.6 \mathrm{~MeV}$ is split into two fragments $\mathrm{Y}$ and $\mathrm{Z}$ of mass numbers 110 and 130. The binding energy of nucleons in $\mathrm{Y}$ and $\mathrm{Z}$ is 8.5 $\mathrm{MeV}$ per nucleon. Calculate the energy $\mathrm{Q}$ released per fission in $\mathrm{MeV}$

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

What is approximately the ratio of nuclear radii of gold isotope $_{79}^{238}Au$ and silver isotope $_{47}^{108}Ag$.

Choose the WRONG statement.

Mass of the nucleons together in a heavy nucleus is

Two nuclei hare their mass numbers in the ratio of 1 : 3, the ratio of their nuclear densities would be

The decay of a proton to neutron is

When the number of nucleons in nuclei increase, the binding energy per nucleon

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

A certain substance decays $\frac{1}{32}$ of its initial activity in 50 days. Calculate its half-life.

Consider a radioactive substance which decays, following the law of disintegration. At an instant $t_1$ its activity is $R$ and at time $t_2$ it becomes $\frac{1}{R}$. Find the average life of radioactive substance, if $t_2 > t_1$.

$10\,\,g$ of radioactive material of half-life $\mathrm{15 }\,\mathrm{year}$ is kept in store for $\mathrm{20 }\,\mathrm{years}$. The disintegrated material is

The half-life of radioactive Radon is $\mathrm{3}.\mathrm{8}\,\,\mathrm{days}$. The time at the end of which ($\mathrm{1/20}$)th of the Radon sample will remain undecayed is (given ${\log _{10}}\,e = 0.4343$)

Which of the following cannot be emitted by radioactive substances during their decay?

The ratio of the density of oxygen nucleus $\left({ }_{8}^{16} \mathrm{O}\right)$ and helium nucleus $\left({ }_{2}^{4} \mathrm{He}\right)$ is

Half-life of a radioactive substance is $20\,\,minutes$. Difference between points of time when it is $\mathrm{33}\,\,\mathrm{\% }$ disintegrated and $\mathrm{67}\,\,\mathrm{\% }$ disintegrated is approximately

Nuclear fission can be explained based on

The rad is the correct unit used to report the measurement of

The mass of an $\alpha$-particle is

Calculate binding energy of helium nuclei

Given $m_p=1.0073 \mathrm{u}$

$\mathrm{m}_{\mathrm{n}}=1.0087 \mathrm{u}$

Nuclear mass of $\mathrm{He}^4=4.0015 \mathrm{u}$