Nuclei practice · Mixed difficulty

The binding energy per nucleon of ${O^{16}}$ is $7.97\,\,MeV$ and that of ${O^{17}}$ is $7.75\,\,MeV$. The energy (in $MeV$) required to remove a neutron from ${O^{17}}$ is

The example of nuclear fusion is

In an $\alpha -$ decay, the kinetic energy of $\alpha -$ particle is 48 MeV and Q value of the reaction is 50 MeV. The mass number of the mother nucleus is [assume that daughter nucleus is in ground state]

If radius of the ${ }_{13}^{27} A l$ nucleus is taken to be $R_{A l},$ then the radius of ${ }_{52}^{125} {Te}$ nucleus is:

If $10 \%$ of a material decays in 5 days, then the amount of original material left after 20 days is approximately

How much mass of $U^{235}$ is required per sec to operate the nuclear reactor generating power $100 \mathrm{~kW}$.

Assertion: The nuclear force between two nucleons falls rapidly to zero as their distance is more than a few femtometer.

Reason: Nuclear force is a short range force

${M_n}$ and ${M_p}$ represent mass of neutron and proton respectively. If an element having atomic mass $M$ has $N$-neutrons and $Z$-protons, then the correct relation will be

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

The activity of a radioactive sample decreases to one-third of the original value in 9 years. What will be the activity after further 9 years ?

Half-life of radioactive sample, when activity of material initially was $\mathrm{8 }\,\mathrm{counts}$ and after $\mathrm{3}\,\,\mathrm{h}$ it becomes $\mathrm{1 }\,\mathrm{counts}$, is

The ratio of mass densities of nuclei of $^{40}Ca$ and $^{16}O$ is close to

Which of the following is possible in a $\beta^{+}$ decay?

A nucleus decays by ${\mathrm{\beta }^ + }$-emission followed by a $\gamma - \mathrm{emission}$. If the atomic and mass numbers of the parent nucleus are $Z$ and $A$ respectively, the corresponding numbers for the daughter nucleus are respectively

The fraction of the initial number of radioactive nuclei which remain undecayed after half of a half-life of the radioactive sample is

${ }^{65} {Cu}$ will turn into ${ }^{66} {Cu}$ if it is bombarded with

${M_p}$ denotes the mass of a proton and ${M_n}$ that of a neutron. A given nucleus, of binding energy $B$, contains $Z$ protons and $N$ neutrons. The mass $M\left( {N,Z} \right)$ of the nucleus is given by ($c$ is the velocity of light)

It is observed that only $6.25 \%$ of a given radioactive sample is left undecayed after a period of 16 days. What is the decay constant of this sample, in day ${ }^{-1}$ ?

A radioactive substance contains $\mathrm{10000}$ nuclei and its half-life period is $\mathrm{20}$ days. The number of nuclei present at the end of $\mathrm{10}$ days is

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

The sodium nucleus ${}_{11}N{a^{23}}$ contains

Nuclear forces are

Half – lives of two radioactive elements $A$ and $B$ are 20 min and 40 min, respectively. Initially, the samples have equal number of nuclei. After 80 min, the ratio of decayed numbers of $A$ and $B$ nuclei will be

Which of the following statements is true for nuclear forces?

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

Assertion A : The binding energy per nucleon is
practically independent of the atomic number for
nuclei of mass number in the range 30 to 170.

Reason R : Nuclear force is short ranged.

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

In half life of a radio isotope is $\mathrm{2}\,\,\mathrm{seconds}$ and number of atoms are only $\mathrm{4}$, then after one half life remaining (without decay) atoms are probably

Assertion: Radioactive nuclei emit $\beta^{-1}$ particles.
Reason: Electrons exist inside the nucleus.

A count rate metre shows a count of $\mathrm{240}$ per minute from a given radioactive source later the metre shows a count rate 0f $30\,\,{\min ^{ - 1}}$⁡ . The half-life of the source is

In a reactor, 2kg of $_{92}{U^{235}}$ fuel is fully used up in 30 days. The energy released per fission is 200 MeV.
Given that, the Avogadro number, $N = 6.023 \times {10^{26}}{K^{ - 1}}\,mo{l^{ - 1}}$ and $1\,\,eV = 1.6 \times {10^{ - 19}}J.$ The power output of the reactor is close to

At a specific instant emission of radioactive compound is deflected in a magnetic field. The compound cannot emit