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Structure of Atom

JEE Main 2026 (Online) 24th January Morning ShiftNumericalEasy📈 Topic in 26% papers+4
Ques. 1JEE Main 2026, 24 January (Morning Shift)

The hydrogen spectrum consists of several spectral lines in Lyman series (L1, L2, L3 ; L1 has lowest energy among Lyman series). Similarly it consists of several spectral lines in Balmer series (B1, B2, B3 ; B1 has lowest energy among Balmer lines). The energy of L1 is x times the energy of B1. The value of x is 10-1. (Nearest integer)

Answer

54

Solution

For hydrogen, E = 13.6 ( 1n12 - 1n22 ) eV

Lowest-energy line of a series is the transition from the next higher level.

L1 (Lyman, 2 1): EL1 112 - 122 = 34

B1 (Balmer, 3 2): EB1 122 - 132 = 536

x = EL1EB1 = 34 365 = 275 = 5.4 = 54 10-1

Answer: 54

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Ques. 2JEE Main 2026, 24 January (Evening Shift)

The wavelength of spectral line obtained in the spectrum of Li2+ ion, when the transition takes place between two levels whose sum is 4 and difference is 2, is

  1. 1.14 10-6 cm
  2. 2.28 10-6 cm
  3. 1.14 10-7 cm
  4. 2.28 10-7 cm
Ques. 3JEE Main 2026, 23 January (Morning Shift)

Given, (A) n = 5, ml = -1 (B) n = 3, l = 2, ml = -1, ms = + 12 The maximum number of electron(s) in an atom that can have the quantum numbers as given in (A) and (B) respectively are :

  1. 4 and 1
  2. 2 and 4
  3. 26 and 1
  4. 8 and 1
Ques. 4JEE Main 2026, 23 January (Morning Shift)

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

  1. +2.18 10-18 J for second orbit of He+ ion
  2. +8.72 10-18 J for first orbit of He+ ion
  3. -1.09 10-18 J for second orbit of H atom.
  4. -2.18 10-18 J for third orbit of Li2+ ion
Ques. 5JEE Main 2026, 23 January (Evening Shift)

The work functions of two metals (MA and MB) are in the 1 : 2 ratio. When these metals are exposed to photons of energy 6 eV, the kinetic energy of liberated electrons of MA : MB is in the ratio of 2.642 : 1. The work functions (in eV) of MA and MB are respectively.

  1. 3.1, 6.2
  2. 1.5, 3.0
  3. 2.3, 4.6
  4. 1.4, 2.8
Ques. 6JEE Main 2026, 23 January (Evening Shift)

Identify the INCORRECT statements from the following : Choose the correct answer from the options given below :

  1. A and D Only
  2. A and C Only
  3. A and B Only
  4. B and C Only
Ques. 7JEE Main 2026, 22 January (Morning Shift)

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: RH = 2.18 10-11 ergs.

  1. 9.835 1012
  2. 1.635 10-11
  3. 1.635 10-18
  4. 9.835 105
Ques. 8JEE Main 2026, 22 January (Evening Shift)

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 :

  1. x1.35
  2. 1.35x
  3. x2
  4. 2x
Ques. 9JEE Main 2026, 21 January (Morning Shift)

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

  1. Both Statement I and Statement II are true
  2. Statement I is true but Statement II is false
  3. Statement I is false but Statement II is true
  4. Both Statement I and Statement II are false
Ques. 10JEE Main 2026, 21 January (Evening Shift)

Consider the following spectral lines for atomic hydrogen : The correct arrangement of the above lines in ascending order of energy is :

  1. D < C < A < B
  2. A < B < C < D
  3. D < A < C < B
  4. C < D < B < A
Ques. 11JEE Main 2025, 8 April (Evening Shift)

Correct statements for an element with atomic number 9 are: Choose the correct answer from the options given below:

  1. A and B Only
  2. A, C and D Only
  3. A and C Only
  4. C and D Only

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