How many numbers of neutrons will be present in newly formed compound when two $\mathrm{\alpha }$ particle and one $\mathrm{\beta }$particle are emitted from ${}_{94}^{244}\mathrm{M}$ ?

Write any three properties of $\mathrm{\beta }-$rays.

Compare the charge and ionising power of $\alpha \mathrm{and} \mathrm{\gamma }$ rays. Mention one use of radioactivity.

The nucleus ${}_{92}{}^{235}Y$, initially at rest, decays into ${}_{90}{}^{231}X$ by emitting an $\alpha -$ particle.

${}_{92}{}^{235}Y\to {}_{90}{}^{231}X+{}_2{}^4\mathrm{He}+$energy

The binding energy per nucleon of the parent nucleus, the daughter nucleus and $\alpha -$particles are $7.8 \mathrm{Mev}, 7.835 \mathrm{Mev}$ and $7.07 \mathrm{Mev}$, respectively. Assuming the daughter nucleus to be formed in the excited state and neglecting its share in the energy of the reaction, find the speed of the emitted $\alpha -$particle. (Mass of $\alpha -$particle$=6.68\times {10}^{-27} \mathrm{kg}$)

In radioactive reaction,

${}_{\mathrm{Z}}{}^{\mathrm{A}}\mathrm{X}\to {}_{\mathrm{Z}+1}{}^{\mathrm{A}}\mathrm{X}_1\to {}_{\mathrm{Z}+2}{}^{\mathrm{A}}\mathrm{X}_2\to {}_{\mathrm{Z}}{}^{\mathrm{A}-4}\mathrm{X}_3\to {}_{\mathrm{Z}+1}{}^{\mathrm{A}-4}\mathrm{X}_4$

Radioactive radiation are emitted in the sequence:

$A\stackrel{\alpha }{\to }{A}_1\stackrel{\beta }{\to }{A}_2\stackrel{\alpha }{\to }{A}_3$

The mass number and atomic number of $A$ are $180$ and $72$ respectively. What are these numbers for $A_3$?

A radioactive nucleus $\text{'}\mathrm{D}\text{'}$ is decaying in the following way:

${}_{92}{}^{235}\mathrm{D}\stackrel{\mathrm{\alpha } \mathrm{decay}}{\to }{\mathrm{D}}_1\stackrel{{\mathrm{\beta }}^{-} \mathrm{decay}}{\to }{\mathrm{D}}_2\stackrel{\mathrm{\alpha } \mathrm{decay}}{\to }{\mathrm{D}}_3\stackrel{\mathrm{\gamma } \mathrm{decay}}{\to }{\mathrm{D}}_4$

Determine the atomic number and mass number of ${\mathrm{D}}_4$.

The ionisation power is maximum for:

In the decay sequence:

${}_{92}{}^{238}\mathrm{U}\stackrel{-{\mathrm{x}}_1}{\to }{}_{90}{}^{234}\mathrm{Th}\stackrel{-{\mathrm{x}}_2}{\to }{}_{91}{}^{234}\mathrm{Pa}\stackrel{-{\mathrm{x}}_3}{\to }{}_{\mathrm{ }}{}^{234}\mathrm{Z}\stackrel{-{\mathrm{x}}_4}{\to }{}_{90}{}^{234}\mathrm{Th}$

${\mathrm{x}}_1,\mathrm{ }{\mathrm{x}}_2,\mathrm{ }{\mathrm{x}}_3$ and ${\mathrm{x}}_4$ are the particles/ radiation emitted by the respective isotopes. The correct option(s) is/are: