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Atoms

JEE Main 2024 (Online) 29th January Evening ShiftNumericalMedium📈 Topic in 22% papers+4
Ques. 1JEE Main 2024, 29 January (Evening Shift)

Hydrogen atom is bombarded with electrons accelerated through a potential difference of V, which causes excitation of hydrogen atoms. If the experiment is being performed at T=0 K, the minimum potential difference needed to observe any Balmer series lines in the emission spectra will be 10 V, where = .

Answer

121

Solution

At T = 0 K all atoms are in the ground state (n = 1).

∵ Balmer lines end on n = 2, the atom must be raised at least to n = 3 (line 3 → 2)

eV=E3-E1=13.6 (1- 19 ) eV

=12.09 eV 12.1 eV

V=12.1 V= 12110 V

=121

Answer: 121

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Ques. 2JEE Main 2024, 27 January (Morning Shift)

The radius of third stationary orbit of electron for Bohr's atom is R. The radius of fourth stationary orbit will be:

  1. 43R
  2. 169R
  3. 34R
  4. 916R
Ques. 3JEE Main 2024, 27 January (Evening Shift)

If Rydberg's constant is R, the longest wavelength of radiation in Paschen series will be 7R, where = .

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