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Structure of Atom

JEE Main 2025 (Online) 22nd January Evening ShiftNumericalMedium📈 Topic in 8% papers+4
Ques. 1JEE Main 2025, 22 January (Evening Shift)

Niobium (Nb) and ruthenium (Ru) have “x” and “y” number of electrons in their respective 4 d orbitals. The value of x+y is .

Answer

11

Solution

Nb (Z=41): [Kr] 4d45s1 ⇒ x=4

Ru (Z=44): [Kr] 4d75s1 ⇒ y=7

∴ x+y=11

Answer: 11

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Ques. 2JEE Main 2024, 9 April (Morning Shift)

Compare the energies of following sets of quantum numbers for multielectron system. (A) n = 4, l = 1 (B) n = 4, l = 2 (C) n = 3, l = 1 (D) n = 3, l = 2 (E) n = 4, l = 0 Choose the correct answer from the options given below :

  1. (E) > (C) > (A) > (D) > (B)
  2. (B) > (A) > (C) > (E) > (D)
  3. (C) < (E) < (D) < (A) < (B)
  4. (E) < (C) < (D) < (A) < (B)
Ques. 3JEE Main 2024, 9 April (Evening Shift)

Match List I with List II Choose the correct answer from the options given below:

  1. A-IV, B-III, C-II, D-I
  2. A-I, B-IV, C-III, D-II
  3. A-III, B-II, C-I, D-IV
  4. A-II, B-I, C-IV, D-III
Ques. 4JEE Main 2024, 9 April (Evening Shift)

Based on Heisenberg's uncertainty principle, the uncertainty in the velocity of the electron to be found within an atomic nucleus of diameter 10-15 m is 109 ms-1 (nearest integer) [Given : mass of electron = 9.1 10-31 kg, Planck's constant (h) = 6.626 10-34 Js] (Value of = 3.14)

Ques. 5JEE Main 2024, 8 April (Morning Shift)

A hypothetical electromagnetic wave is shown below. [figure] The frequency of the wave is x 1019 Hz. x = (nearest integer)

Ques. 6JEE Main 2024, 8 April (Evening Shift)

Wavenumber for a radiation having 5800 Å wavelength is x 10 cm-1. The value of x is . (Integer answer)

Ques. 7JEE Main 2024, 6 April (Morning Shift)

Frequency of the de-Broglie wave of electron in Bohr's first orbit of hydrogen atom is 1013 Hz (nearest integer). [Given : RH (Rydberg constant) = 2.18 10-18 J, h (Planck's constant) = 6.6 10-34 J. s.]

Ques. 8JEE Main 2024, 6 April (Evening Shift)

For hydrogen atom, energy of an electron in first excited state is -3.4 eV. K.E. of the same electron of hydrogen atom is x eV. Value of x is 10-1 eV. (Nearest integer)

Ques. 9JEE Main 2024, 5 April (Morning Shift)

The value of Rydberg constant (RH) is 2.18 10-18 J. The velocity of electron having mass 9.1 10-31 kg in Bohr's first orbit of hydrogen atom = 105 ms-1 (nearest integer).

Ques. 10JEE Main 2024, 5 April (Evening Shift)

In an atom, total number of electrons having quantum numbers n = 4, |ml| = 1 and ms = - 12 is .

Ques. 11JEE Main 2024, 4 April (Morning Shift)

The de-Broglie's wavelength of an electron in the 4th orbit is 0. (a0 = Bohr's radius)

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