Embibe Experts Solutions for Exercise 4: Assignment

The decay constant of a radioactive substance is $\lambda$. At $t=0$, the number of active nuclei are $N_0$. Select the correct alternative

Radioactive nuclei are being generated at a constant rate by some kind of nuclear reaction. If the decay constant for the radioactive nuclei is $\mathrm{\lambda }$, which of the following graphical representation is correct? (initially, there are no radioactive nuclei present)

The count rate of a radioactive sample was $1600 \mathrm{count} {\mathrm{s}}^{–1}$ at $t=0$ and $100 \mathrm{count} {\mathrm{s}}^{–1}$ at $t=8 \mathrm{s}.$ Select the correct alternatives

The probability of disintegration per second of a nucleus in a given radio-active sample

An unstable nucleus emits radiations to transform into less unstable state. Select the correct statement(s).

Choose the correct statement(s).

A parent nuclide $A$ (decay constant ${\lambda }_1$) has $N_0$ number of atoms at time $t=0.$ Nuclide $A$ decays to nuclide $B$ which further decays with decay constant ${\lambda }_2.$ [$N_A=$number of atoms of $A$ at a given time, $N_B=$number of atoms of $B$ at a given time]

If ${\lambda }_1={\lambda }_0=2{\lambda }_2$ then the correct match is

A parent nuclide $A$ (decay constant ${\lambda }_1$) has $N_0$ number of atoms at time $t=0.$ Nuclide $A$ decays to nuclide $B$ which further decays with decay constant ${\lambda }_2.$ [$N_A=$number of atoms of $A$ at a given time, $N_B=$number of atoms of $B$ at a given time]

If ${\lambda }_1=2{\lambda }_0, {\lambda }_2={\lambda }_0$ then the correct match is