Exercise 1

The radii of the first Bohr orbit of $\mathrm{H}\left({\mathrm{r}}_{\mathrm{H}}\right), {\mathrm{He}}^{+}\left({{\mathrm{r}}_{\mathrm{He}}}^{+}\right)$ and ${\mathrm{Li}}^{2+}\left({{\mathrm{r}}_{\mathrm{Li}}}^{2+}\right)$ are in the order

Uncertainty in position of a particle of $25 \mathrm{g}$ in space is ${10}^{-15} \mathrm{m}$. Determine, uncertainty in velocity $\left(\mathrm{m}.{\sec }^{-1}\right)$ in it. (Plank's constant, $\mathrm{h}=6.6\times {10}^{-34} \mathrm{Js}$) If answer is $2.1\times {10}^{-\mathrm{x}}$. then x is.

Determine uncertainity in the position of an electron (mass $=9.1\times {10}^{-31} \mathrm{Kg}$) moving with a velocity $300 \mathrm{m}.{\sec }^{-1}$, accurate upto $0.001\%.\left(\mathrm{h}=6.63\times {10}^{-34 }\mathrm{J}-\mathrm{s}\right)$

For a one-electron atom, the set of allowed quantum numbers is:

Maximum number of electrons that can be accommodated in the subshell with azimuthal quantum number $\mathrm{l}=4$, is:

The electronic configuration which obeys Hund's rule for the ground state of carbon atom is:

Among the following, the INCORRECT statement is

Consider the ground state of the $\mathrm{Cr}$ atom $\left(\mathrm{Z}=24\right)$. Determine the number of electrons with the azimuthal quantum numbers, $\mathrm{\ell }=1$ and $2$, respectively.