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 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:
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 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✓ Correct
- (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
Answer: (A)
Solution
Passing an electric discharge through gaseous hydrogen dissociates H into atoms, and these excited atoms relax through fixed electronic levels, emitting radiation only at discrete frequencies, so Statement I is correct. Using , the first Lyman line of hydrogen () gives , while the second Balmer line of He () gives . The two wavenumbers, and hence the frequencies, are equal, so Statement II is correct. Both statements are true.
JEE Main · 2026 · 21 Jan 2026 · Shift 1 · Single correct option