Radioactivity

Two nuclei have mass numbers in the ratio $1:8$. The ratio of their nuclear radii would be:

The plot of the activity of a radioactive species versus time would be:

How long will a radioactive isotope, whose half life is $T$ years, take for its activity to reduce to ${\left(\frac{1}{8}\right)}^{\mathrm{th}}$ of its initial value?

Two nuclei have mass numbers in the ratio $8 : 125$. The ratio of their nuclear radii is:

What is nuclear fusion give example?
 

How do you find the daughter nuclei?

What is the velocity of beta particle?

When radioactive nucleus emits $\mathrm{\beta }-$particle its atomic number and mass number are respectively

When radioactive nucleus emits an $\mathrm{\alpha }-$particle then dauter nucleus reduces in atomic number and mass number by

Penetrating power of Gamma radiation is very low.

Which of the following statements is/are correct?
i. $\alpha$ particles are photons.
ii. Penetrating power of $\gamma$ radiation is very low.
iii. Ionization power is maximum for α rays.
iv. Penetrating power of $\gamma$ radiation is very high.

A stationary radioactive nucleus of mass $210$ units disintegrates into an $\alpha$-particle of mass $4$ units and residual nucleus of mass $206$ units. If the kinetic energy of the $\alpha$-particle is $E$, then the kinetic energy of the residual nucleus is

The $\mathrm{\alpha }, \mathrm{\beta } \& \mathrm{\gamma }$ rays travel at the speed of light.

_____ was the only woman to win Nobel Prize in two different fields.

In a sample initially, there are an equal number of atoms of two radioactive isotopes $A$ and $B$. $3$ days later, the number of atoms of $A$ is twice that of $B$. The half-life of $B$ is $1.5$ days. What is the half-life (in days) of isotope $A$?

When an alpha particle is emitted from an unstable nucleus, the atomic mass number of the nucleus

The decay constant of a radioactive substance is $\lambda =1.386\times {10}^{-10} {\mathrm{s}}^{-1}$. What is the half-life of it in Giga seconds? (${\log }_{e}2=0.693$)

If the amount of radioactive substance is $N$, then according to Rutherford-Soddy law, the rate of radioactive decay is proportional to