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Atoms

JEE Main 2025 (Online) 22nd January Morning ShiftMCQMedium📈 Topic in 3% papers+4−1
Ques. 1JEE Main 2025, 22 January (Morning Shift)

An electron in the ground state of the hydrogen atom has the orbital radius of 5.3 10-11 m while that for the electron in third excited state is 8.48 10-10 m. The ratio of the de Broglie wavelengths of electron in the ground state to that in the excited state is

  1. 4
  2. 3
  3. 9
  4. 16

Answer

(1) 4

Solution

Bohr + de Broglie: 2 r=n , so = 2 rn. Third excited state n=4 (r4=16r1 matches the given radius).

[figure]

1=2 r1, 4= 2 (16r1)4=4 1

The wavelengths differ by a factor 4

Answer: (1)

Keep practising — Atoms

Ques. 2JEE Main 2026, 6 April (Morning Shift)

The ratio of momentum of the photons of the 1st and 2nd line of Balmer series of Hydrogen atoms is / . The possible values of and are :

  1. 27 and 20
  2. 3 and 16
  3. 5 and 36
  4. 20 and 27
Ques. 3JEE Main 2026, 5 April (Morning Shift)

In the hydrogen atom, the electron makes a transition from the higher orbit (i) to a lower orbit (f). The ratio of the radius of the orbits is given by ri:rf=16:4. The wavelength of photon emitted due to this transition is nm. (Given Rydberg constant = 1.0973 107 /m)

  1. 121
  2. 242
  3. 486
  4. 974
Ques. 4JEE Main 2026, 4 April (Evening Shift)

In Rutherford's alpha-particle scattering experiment, only a few alpha particles rebound back because Choose the correct answer from the options given below :

  1. A, B Only
  2. B, E Only
  3. C, D Only
  4. A, C, E Only
Ques. 5JEE Main 2026, 2 April (Morning Shift)

Angular momentum of an electron in a hydrogen atom is 3h , then the energy of the electron is eV.

  1. -1.51
  2. -0.85
  3. -0.38
  4. -0.28
Ques. 6JEE Main 2026, 2 April (Evening Shift)

Using Bohr's model, calculate the ratio of the magnetic fields generated due to the motion of the electrons in the 2nd and 4th orbits of hydrogen atom .

Ques. 7JEE Main 2026, 24 January (Morning Shift)

Two electrons are moving in orbits of two hydrogen-like atoms with speeds 3 105 m/s and 2.5 105 m/s respectively. If the radii of these orbits are nearly same then the possible order of energy states are respectively.

  1. 8 and 10
  2. 10 and 12
  3. 9 and 8
  4. 6 and 5
Ques. 8JEE Main 2026, 23 January (Morning Shift)

In hydrogen atom spectrum, (R Rydberg's constant) Choose the correct answer from the options given below :

  1. A, B Only
  2. B, D Only
  3. A, B and D Only
  4. A, B and C Only
Ques. 9JEE Main 2026, 22 January (Morning Shift)

A 7.9 MeV -particle scatters from a target material of atomic number 79. From the given data the estimated diameter of nuclei of the target material is (approximately) m. [ 14 0 = 9 109 N m2/C2 . and electron charge . = 1.6 10-19 C ]

  1. 2.88 10-14
  2. 5.76 10-14
  3. 1.44 10-13
  4. 1.69 10-12
Ques. 10JEE Main 2026, 22 January (Evening Shift)

The smallest wavelength of Lyman series is 91 nm. The difference between the largest wavelengths of Paschen and Balmer series is nearly nm.

  1. 1784
  2. 1875
  3. 1217
  4. 1550
Ques. 11JEE Main 2026, 21 January (Morning Shift)

If an alpha particle with energy 7.7 MeV is bombarded on a thin gold foil, the closest distance from nucleus it can reach is m. (Atomic number of gold = 79 and 14 0 = 9 109 in SI units)

  1. 2.95 10-16
  2. 3.85 10-14
  3. 2.95 10-14
  4. 3.85 10-16

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