The energy of one mole of photons of radiation of wavelength $300 \mathrm{nm}$ is (Given : $\mathrm{h}=6.63\times {10}^{-34} \mathrm{J} \mathrm{s},{\mathrm{N}}_{\mathrm{A}}=6.02\times {10}^{23}{ \mathrm{mol}}^{-1}\mathrm{c}=3\times {10}^8 \mathrm{m}{ \mathrm{s}}^{-1}$)

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