Nuclei practice · Medium

If a particle is being added to the nucleus of an atom but not changing its chemical properties. Then, these particles are

A radioactive $\beta$-emission. A detector records $n \beta$-particles in $2 s$ and by next $2 s$ (accumulatively) it records $1.1 n \beta$-particle. Number of $\beta$-particles recorded by detector after a long time, is

In nuclear reactions, we have the conservation of

If ${M_0}$ is the mass of an oxygen isotope $_8{\mathrm{O}^{17}}$ , ${M_p}\,\,and\,\,{M_n}$ are the masses of a proton and a neutron, respectively, the nuclear binding energy of the isotope is

Assertion: In a decay atom number of daughter nucleus reduces by 2 from the parent nucleus.

Reason:An Q-particle carries four units of mass.

The fossil bone has a $^{14}\mathrm{C}{:^{12}}\mathrm{C}$ ratio, which is $\left[ {\frac{1}{{16}}} \right]$ of that in a living animal bone. If the half-life of $^{14}\mathrm{C}$ is $\mathrm{5730 }\,\mathrm{yr}$, then the age of the fossil bone is

Following statements related to radioactivity are given below:
(A) Radioactivity is a random and spontaneous process and is dependent on physical and chemical conditions.
(B) The number of un-decayed nuclei in the radioactive sample decays exponentially with time.
(C) Slope of the graph of loge (no. of undecayed nuclei) Vs. time represents the reciprocal of mean life time $\left( \tau \right).$
(D) Product of decay constant $\left( \lambda \right)$ and half-life time $\left( {{T_{1/2}}} \right)$ is not constant.
Choose the most appropriate answer from the options given below:

If $\mathrm{M}_{\mathrm{o}}$ is the mass of isotope ${ }_5^{12} \mathrm{B}, \mathrm{M}_{\mathrm{p}}$ and $\mathrm{M}_{\mathrm{n}}$ are the masses of proton and neutron, then nuclear binding energy of isotope is:

Ratio of the wavelengths of first line of Lyman series and first line of Balmer series is

The correct sequence of the increasing wavelength of the given radiation sources is

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

${}_{\mathrm{92}}^{\mathrm{238}}\mathrm{U}$ emits 8 $\alpha \mathrm{ - }$ particle and 6 $\beta -$ particles. The neutron/proton ratio in the product nucleus is

The subatomic particles proton and neutron fall under the group of

An artificial radioactive decay series begins with unstable $_{94}^{241}Pu$. The stable nuclide obtained after eight $\alpha -$ decays and five $\beta -$ decays is

Fusion process, like combining two deuterons to form a He nucleus are impossible at ordinary temperatures and pressure. This reasons for this can be traced to the fact

The radius of a spherical nucleus as measured by electron scattering is 3.6 fm. What is the likely mass number of the nucleus?

For nuclear reaction, select correct statement for released energy

A nuclear fusion reaction is given by $4\left( {{}_2^4He} \right) \to {}_8^{16}O$. If atomic mass of He is 4.0026 amu and that of O is 15.9994 amu then the Q-value of the reaction will be approximately

Consider the following two statements $A$ and $B$ identify the correct answer given
A: Nuclear density is same for all nuclei
B:Radius of the nucleus $R$ and its mass the number $A$ are related as $\sqrt A \propto {R^{1/6}}$

The decay constant, for a given radioactive sample, is 0.3465 day $^{-1}$. What percentage of this sample will get decayed in a period of 4 years ?

Which one of the following is a possible nuclear reaction?

The approximate nuclear radius is proportional to ($A$ is the mass number and $Z$ the atomic number)

In the given nuclear reaction ${ }_4^9 \mathrm{Be}+{ }_2^4 \mathrm{He} \rightarrow{ }_6^{12} \mathrm{C}+\mathrm{X}$. $\mathrm{X}$ represents

The binding energies per nucleon for a deuteron and an $\alpha \mathrm{ - }$ particle are ${x_1}\,\,\,\mathrm{and}\,\,\,\,\,{x_2}$ respectively. What will be the energy Q released in the reaction
${}_1{H^2} + {}_1{H^2} \to {}_2H{e^4} + Q$

The binding energy of nucleus is a measure of its

Heavy water is used in a nuclear reactor to

If the mass of a radioactive sample is doubled, the activity of the sample and the disintegration constant of the sample are respectively

Which of the following processes represents a $\mathrm{\gamma }$-decay?

The fussion process is possible at high temperatures, because at higher temperatures

If mass equivalent to one mass of proton is completely converted into energy then energy produced is (MeV)