The longest wavelength of light that can be used for the ionisation of lithium atom $\left(\mathrm{Li}\right)$ in its ground state is $\mathrm{x}\times {10}^{-8} \mathrm{m}$. The value of $\mathrm{x}$ is (Nearest Integer)

(Given : Energy of the electron in the first shell of the hydrogen atom is $-2.2\times {10}^{-18} \mathrm{J}$; $\mathrm{h}=6.63\times {10}^{-34}\mathrm{Js}$ and $\mathrm{c}=3\times {10}^8{ \mathrm{ms}}^{-1}$)

The minimum energy that must be possessed by photons in order to produce the photoelectric effect with platinum metal is:

[Given: The threshold frequency of platinum is $1.3\times {10}^{15}{ \mathrm{s}}^{-1}$ and $\mathrm{h}=6.6\times {10}^{-34}\mathrm{Js}$]

If the uncertainty in velocity and position of a minute particle in space are, $2.4\times {10}^{-26}\left({\mathrm{ms}}^{-1}\right)$ and ${10}^{-7}\left(\mathrm{m}\right)$ respectively. The mass of the particle in $\mathrm{g}$ is___(Nearest integer)

(Given : $\mathrm{h}=6.626\times {10}^{-34}\mathrm{Js}$)

Consider the following set of quantum numbers.

The number of correct sets of quantum numbers is

Consider the following statements :

(A) The principal quantum number '$\mathrm{n}$' is a positive integer with values of '$\mathrm{n}$' $=1,2,3,\dots$

(B) The azimuthal quantum number '$\mathrm{l}$' for a given '$\mathrm{n}$' (principal quantum number) can have values as '$\mathrm{l}$' $=0,1,2,\dots .\mathrm{n}$ has $\left(2 \mathrm{l}+1\right)$ values.

(D) $\pm \frac{1}{2}$ are the two possible orientations of electron spin.

(E) For $\mathrm{l}=5$, there will be a total of $9$ orbital

Which of the above statements are correct?

Which of the following statements are correct?

(A) The electronic configuration of $\mathrm{Cr}$ is $\left[\mathrm{Ar}\right] 3{\mathrm{d}}^{5}4{\mathrm{s}}^1$.

(B) The magnetic quantum number may have a negative value.

(C) In the ground state of an atom, the orbitals are filled in order of their increasing energy order.

(D) The total number of nodes are given by $\mathrm{n}-2$.

Choose the most appropriate answer from the options given below.