Embibe Experts Solutions for Chapter: Atoms and Nuclei, Exercise 1: Level 1

The ratio of the longest to the shortest wavelengths in the Bracket series of hydrogen spectra is $\frac{\mathrm{P}}{18}$. Then, the value of $\mathrm{P}$ is:

The first member of the Balmer series of hydroge $n$ atom has a wavelength of $6561 \mathrm{\AA }.$ The wavelength of the second member of the Balmer series (in $\mathrm{nm}$) is .....

Binding energy per nucleon for ${\mathrm{C}}^{12}$ is $7.68 \mathrm{MeV}$ and that for ${\mathrm{C}}^{13}$ is $7.47 \mathrm{MeV}.$ Find energy required to remove a neutron from ${\mathrm{C}}^{13}$ (in $\mathrm{MeV}$ ). (Approximate the answer to the nearest integer.)

If ${}_{92}{\mathrm{U}}^{238}$ changes to ${{}_{85}\mathrm{At}}^{210}$ by a series of $\mathrm{\alpha }$- and $\mathrm{\beta }$-decays, the number of $\mathrm{\alpha }$- and $\mathrm{\beta }$-decays undergone, respectively, is

Find the mean life (in $\min$ ) of ${}^{55}Co$ radionuclide if its activity is known to decrease by $4\%$ per hour. The decay product is non-radioactive $\left[ln\left(\frac{25}{24}\right)=0.0408\right],$

Two radioactive sources $A$ and $B$ initially contain an equal number of radioactive atoms. Source A has a half-life of $1$ $\mathrm{hour}$ and source B has a half-life of $2$ $\mathrm{hours}$. At the end of $2$ $\mathrm{hours}$, the ratio of activity of source $A$ to that of $B$ is :

The half-life of${}_{92}^{238}\mathrm{U}$ undergoing $\alpha -$ decay is $4.5\times {10}^9$ $\mathrm{years}$. Calculate the activity of $1 \mathrm{g}$ sample of${}_{92}^{238}\mathrm{U}$. (Avogadro's number is $6.022\times {10}^{23}$)

A nucleus ${}_n{}^{m}X$ emits one $\alpha$-particle and two $\beta$-particles. The resulting nucleus is: