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Structure of Atom · Question 2

JEE Main 2026 (Online) 6th April Morning ShiftMCQMedium📈 Topic in 26% papers+4−1
1

If shortest wavelength of hydrogen atom in Lyman series is x, then longest wavelength in Balmer series of He+ is:

  1. 9x5
  2. 36x5
  3. x4
  4. 5x9

Answer

(1) 9x5

Solution

For a one-electron species: 1 = RZ2 ( 1n12- 1n22 )

Shortest wavelength of Lyman series of H (Z = 1): n1 = 1, n2 =

⇒ 1x = R ( 112-0 ) = R ⇒ R = 1x

Longest wavelength of Balmer series of He+ (Z = 2): n1 = 2, n2 = 3

⇒ 1 = R(2)2 ( 122- 132 )

⇒ 1 = 4R 536 = 5R9

∴ = 95R = 9x5

Answer: (1)

JEE Main 2026 (Online) 6th April Morning Shift

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2

Match the LIST-I with LIST-II

  1. A-IV, B-I, C-III, D-II
  2. A-IV, B-II, C-III, D-I
  3. A-III, B-I, C-IV, D-II
  4. A-IV, B-III, C-II, D-I
JEE Main 2026 (Online) 6th April Morning Shift
3

The Bohr radius of a hydrogen like species is 70.53 pm. The species and the stationary state (n) are respectively (Given : Hydrogen atom Bohr radius is 52.9 pm)

  1. Li2+, 3
  2. He+, 3
  3. He+, 2
  4. Li2+, 2
JEE Main 2026 (Online) 6th April Evening Shift
4

Arrange the following atomic orbitals of multi electron atoms in order of increasing energy. Choose the correct answer from the options given below:

  1. C < D < B < A < E
  2. B < A < E < C < D
  3. E < C < D < B < A
  4. E < B < A < D < C
JEE Main 2026 (Online) 5th April Morning Shift
5

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

  1. A, B and C Only
  2. A, B and D Only
  3. B, C and D Only
  4. A, C and D Only
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6

Which of the following statement(s) is/are true ? Choose the correct answer from the options given below :

  1. A, B and C only
  2. A and C only
  3. C and D only
  4. A only
JEE Main 2026 (Online) 5th April Evening Shift
7

What is the ratio of wave number of first line (lowest energy line) of Balmer series of H atomic spectrum to first line of its Brackett series?

  1. 5 : 1
  2. 5 : 0.81
  3. 5 : 1.75
  4. 5 : 27
JEE Main 2026 (Online) 4th April Morning Shift
8

Which of the following is correct set of 4 quantum numbers of 19th electron in Chromium (Atomic number = 24) in accordance with Aufbau principle?

  1. n = 3, l = 2, m = +2, s = + 12
  2. n = 3, l = 2, m = -2, s = + 12
  3. n = 4, l = 1, m = 0, s = + 12
  4. n = 4, l = 0, m = 0, s = + 12
JEE Main 2026 (Online) 4th April Morning Shift
9

The species having identical radii according to the Bohr's theory are : Choose the correct answer from the options given below :

  1. A and C Only
  2. A and E Only
  3. B and E Only
  4. C and D Only
JEE Main 2026 (Online) 4th April Evening Shift
10

What is the energy (in J atom-1) required for the following process ? Li2+(g) Li3+(g) + e- (Take the ionization energy for the H atom in the ground state as 2.18 10-18 J atom-1)

  1. 8.72 10-18
  2. 1.962 10-18
  3. 1.962 10-17
  4. 6.54 10-17
JEE Main 2026 (Online) 2nd April Morning Shift
11

The surface of sodium metal is irradiated with radiation of wavelength x nm. The kinetic energy of ejected electrons is 2.8 10-20 J. The work function of sodium is 2.3 eV. The value of x is 102 nm. (Nearest integer) (Given : h = 6.6 10-34 J s; 1 eV = 1.6 10-19 J; c = 3.0 108 m s-1)

JEE Main 2026 (Online) 2nd April Evening Shift

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