Nuclei practice · Mixed difficulty

Statement-I: Nuclei having mass number about 60 are most stable.

Statement-II: When two or more light nuclei are combined into a heavier nucleus, then the binding energy per nucleon will increase.

Two nuclei ${P}, {Q}$ havge equal no.of atoms at ${t}$ $=0$. Their half - life are 3 hours, 9 hours. Compare their rates of disintegration after 18 hrs from the start.

Half life of a substance a is 20 minutes what is the time between $33 \%$ decay and $67 \%$ decay?

Which of the following is more effective for producing nuclear reactions with nuclei compared to protons?

Which of the following is most unstable

A radioactive element $_{90}{X^{238}}$ decays into $_{83}{Y^{222}}$. The number of $\beta -$ particles emitted are

Assertion: Binding energy increase with increase in atomic mass number.
Reason: Density of nucleus increase with increase in atomic mass number.

An observer $A$ sees an asteroid with a radioactive element moving by at a speed $= 0.3\,\,c$ and measures the radioactivity decay time to be ${T_A}$. Another observer $B$ is moving with the asteroid and measures its decay time as ${T_B}$. Then ${T_A}$ and ${T_B}$ are related as below

Assertion: In ${U}_{\mathrm{235}}$ fission reaction neutrons are required to be slowed down.
Reason: The probability of capture of slow moving neutrons is high for ${U}_{\mathrm{235}}$.

If $m,{m_n}$ and ${m_p}$ are the masses of $_Z{X^A}$ nucleus, neutron and proton respectively, then

The half life of $B{i^{210}}$ is 5 days. What time is taken by (7/8)th part of the sample to decay

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

When a radioactive isotope $_{88}{\mathrm{R}^{228}}$ decay in series by the emission of $3\,\alpha$-particles and $\mathrm{\beta }$-particle, the isotope finally formed is

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

A nucleus of mass $\mathrm{214}$ amu in free state decays to emit an $\alpha$-particle. Kinetic energy of the $\alpha$-particle emitted is $6.7\,MeV$. The recoil energy (in $MeV$) of the daughter nucleus is

When a neutron is disintegrated to give a $\mathrm{\beta }$ particle,

Select incorrect statement about strong nuclear forces

Energy evolved in a chemical reaction comes from

Assertion (A): Energy is released during nuclear fission reaction.

Reason (R): Total binding energy of the fission fragments is larger than the total binding energy of the parent nucleus.

Which one or more of the three decay processes $\left(\alpha, \beta^{-}\right.$, or $\left.\gamma\right)$ results in a new element?

The fraction of the initial activity of a radioactive material which remains after half of a half life of the radioactive sample is

In a working nuclear reactor, cadmium rods (control rods) are used to

The ratio of half-life times of two elements $A$ and $B$ is $\frac{{{T_A}}}{{{T_B}}}$ . The ratio of respectively decay constants $\frac{{{\lambda _A}}}{{{\lambda _B}}}$ is

Radio carbon dating is done by estimating in specimen the

For a nuclear to be in critical condition, the value of neutron multiplication factor $k$ must be

Pick out the unmatched pair from the following

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 $\mathrm{Z}$.

Hydrogen bomb is based on which of the following phenomenon

In the given reaction, find value of $Q$ value.

${ }_6 C^{13} \longrightarrow {}_6C^{12}+{ }_0 n^1+(Q-\text {value})$

Given: mass of ${ }_6 C^{13} \Rightarrow x$

mass of ${ }_6 C^{12} \Rightarrow y$

mass of ${ }_0 n^1 \Rightarrow z$

In nuclear fission, the fission reactions proceeds with a projectile. Which of the following suits the best