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Structure of Atom

JEE Main 2024 (Online) 5th April Morning ShiftNumericalMedium📈 Topic in 20% papers+4
Ques. 1JEE 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).

Answer

22

Solution

Bohr's model: speed of the electron in the nth orbit is vn = 2.18 106 Zn m s-1

(this value comes from 12mv2 = RH Z2n2 with the given RH and m)

For the first orbit of H, Z = 1 and n = 1, so

v1 = 2.18 106 m s-1 = 21.8 105 m s-1 22 105 m s-1

Answer: 22

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Ques. 2JEE 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. 3JEE Main 2024, 4 April (Morning Shift)

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

Ques. 4JEE Main 2024, 4 April (Evening Shift)

The maximum number of orbitals which can be identified with n = 4 and ml = 0 is .

Ques. 5JEE Main 2024, 1 February (Morning Shift)

According to the wave-particle duality of matter by de-Broglie, which of the following graph plot presents most appropriate relationship between wavelength of electron ( ) and momentum of electron (p)?

  1. [figure]
  2. [figure]
  3. [figure]
  4. [figure]
Ques. 6JEE Main 2024, 1 February (Evening Shift)

The number of radial node/s for 3p orbital is :

  1. 3
  2. 2
  3. 1
  4. 4
Ques. 7JEE Main 2024, 31 January (Morning Shift)

The ionization energy of sodium in kJ mol-1, if electromagnetic radiation of wavelength 242 nm is just sufficient to ionize sodium atom is .

Ques. 8JEE Main 2024, 31 January (Evening Shift)

The four quantum numbers for the electron in the outermost orbital of potassium (atomic no. 19) are

  1. n = 3, l = 0, m = 1, s = + 12
  2. n = 4, l = 0, m = 0, s = + 12
  3. n = 2, l = 0, m = 0, s = + 12
  4. n = 4, l = 2, m = -1, s = + 12
Ques. 9JEE Main 2024, 30 January (Morning Shift)

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

  1. Statement I is true but Statement II is false
  2. Statement I is false but Statement II is true
  3. Both Statement I and Statement II are false
  4. Both Statement I and Statement II are true
Ques. 10JEE Main 2024, 30 January (Evening Shift)

Number of spectral lines obtained in He+ spectra, when an electron makes transition from fifth excited state to first excited state will be

Ques. 11JEE Main 2024, 29 January (Morning Shift)

The correct set of four quantum numbers for the valence electron of rubidium atom (Z=37) is :

  1. 5, 1, 1, + 12
  2. 5, 0, 0, + 12
  3. 5, 0, 1, + 12
  4. 5, 1, 0, + 12

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