JEE Main · 2023 · 13 Apr 2023 · Shift 1 · Atomic Structure

Given below are two statements:

Statement I: When an electric discharge is passed through gaseous hydrogen, the hydrogen molecules dissociate and the energetically excited hydrogen atoms produce electromagnetic radiation of discrete frequencies.

Statement II: The frequency of s …

The energy required by electrons, present in the first Bohr orbit of hydrogen atom to be excited to second Bohr orbit is ____ $\mathrm{J}{\mathrm{mol}}^{-1}$.

Given : ${\mathrm{R}}_{\mathrm{H}}=2.18\times 10^{-11}\mathrm{ergs}$.

Consider the following spectral lines for atomic hydrogen:
A. First line of Paschen series
B. Second line of Balmer series
C. Third line of Paschen series
D. Fourth line of Bracket series

The correct arrangement of the above lines in ascending order of energy is:

The energy of first (lowest) Balmer line of H atom is x J. The energy (in J) of second Balmer line of H atom is :

Which of the following statements regarding the energy of the stationary state is true in the following one-electron system ?

Given,
(A) $\mathrm{n}=5,{\mathrm{m}}_1=-1$
(B) $\mathrm{n}=3,1=2,{\mathrm{m}}_1=-1,{\mathrm{m}}_{\mathrm{s}}=+\frac{1}{2}$

The maximum number of electron(s) in an atom that can have the quantum numbers as given in (A) and (B) respectively are :