JEE Main · 2026 · 22 Jan 2026 · Shift 2 · Atomic Structure

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 :

(A) $x^{2}$
(B) $\frac{x}{1.35}$
(C) $2 x$
(D) $1.35 x$ ✓ Correct

Answer: (D)

Solution

The first Balmer line is the

n = 3 \to 2

transition, with

x \propto (\frac{1}{2 ^{2}} - \frac{1}{3 ^{2}}) = \frac{5}{36}

, while the second Balmer line is the

n = 4 \to 2

transition, with energy

E \propto (\frac{1}{2 ^{2}} - \frac{1}{4 ^{2}}) = \frac{3}{16}

. Taking the ratio of the two,

\frac{E}{x} = \frac{3/16}{5/36} = \frac{27}{20} = 1.35

. The energy of the second Balmer line is

1.35 x

JEE Main · 2026 · 22 Jan 2026 · Shift 2 · Single correct option

Practise more: all JEE Main PYQs on Atomic Structure →

More JEE Main questions on 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 …
JEE Main 2026View solution →
The energy required by electrons, present in the first Bohr orbit of hydrogen atom to be excited to second Bohr orbit is ____ $J mol^{- 1}$ .

Given : $R_{H} = 2.18 \times 1 0^{- 11} ergs$ .
JEE Main 2026View solution →
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:
JEE Main 2026View solution →
Which of the following statements regarding the energy of the stationary state is true in the following one-electron system ?
JEE Main 2026View solution →
Given,
(A) $n = 5, m_{1} = - 1$
(B) $n = 3, 1 = 2, m_{1} = - 1, m_{s} = + \frac{1}{2}$

The maximum number of electron(s) in an atom that can have the quantum numbers as given in (A) and (B) respectively are :
JEE Main 2026View solution →
Identify the INCORRECT statements from the following:
A. Notation $_{12}^{24} Mg$ represents 24 protons and 12 neutrons.
B. Wavelength of a radiation of frequency $4.5 \times 1 0^{15} s^{- 1}$ is $6.7 \times 1 0^{- 8} m$ .
C. One radiation has wave …
JEE Main 2026View solution →