JEE Main 2026 — Jan 21, Shift 1 — Chemistry solution

JEE Main2026Jan 21, Shift 1Chemistry

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 second line of Balmer series obtained from $H e^{+}$ is equal to that of first line of Lyman series obtained from hydrogen atom.

In the light of the above statements, choose the correct answer from the options given below:

A
Both Statement I and Statement II are true
B
Both Statement I and Statement II are false
C
Statement I is false but Statement II is true
D
Statement I is true but Statement II is false

Solution

Statement I — true (the discharge tube observation that gave the H atom spectrum).

Statement II: For first line of Lyman in H (Z=1): $1/ λ = R (1/ 1^{2} - 1/ 2^{2}) = 3 R /4$ . For second line of Balmer in $H e^{+}$ (Z=2): $1/ λ^{'} = R (2)^{2} (1/ 2^{2} - 1/ 4^{2}) = 4 R \cdot 3/16 = 3 R /4$ . Equal — Statement II true.

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