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Atoms · Question 6

JEE Main 2026 (Online) 24th January Morning ShiftMCQMedium📈 Topic in 35% papers+4−1
1

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

Answer

(4) 6 and 5

Solution

In Bohr's model of a hydrogen-like atom: rn n2Z and vn Zn

Radii equal n12Z1 = n22Z2 Z n2

v Zn n2n = n

n1n2 = v1v2 = 3 1052.5 105 = 65

Only the pair 6 and 5 has this ratio.

Answer: (4)

JEE Main 2026 (Online) 24th January Morning Shift

Keep practising — Atoms

2

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
JEE Main 2026 (Online) 23rd January Morning Shift
3

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
JEE Main 2026 (Online) 22nd January Morning Shift
4

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
JEE Main 2026 (Online) 22nd January Evening Shift
5

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
JEE Main 2026 (Online) 21st January Morning Shift
6

The energy of an electron in an orbit of the Bohr's atom is -0.04E0 eV where E0 is the ground state energy. If L is the angular momentum of the electron in this orbit and h is the Planck's constant, then 2 Lh is :

  1. 6
  2. 2
  3. 5
  4. 4
JEE Main 2026 (Online) 21st January Evening Shift
7

In a hydrogen like ion, the energy difference between the 2nd excitation energy state and ground is 108.8 eV. The atomic number of the ion is:

  1. 1
  2. 4
  3. 3
  4. 2
JEE Main 2025 (Online) 7th April Morning Shift
8

For a hydrogen atom, the ratio of the largest wavelength of Lyman series to that of the Balmer series is

  1. 5 : 27
  2. 27 : 5
  3. 3 : 4
  4. 5 : 36
JEE Main 2025 (Online) 7th April Morning Shift
9

Considering the Bohr model of hydrogen-like atoms, the ratio of the radius of 5th orbit of the electron in Li2+ and He+ is

  1. 32
  2. 23
  3. 49
  4. 94
JEE Main 2025 (Online) 4th April Morning Shift
10

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

  1. Both Statement I and Statement II are correct
  2. Statement I is correct but Statement II is incorrect
  3. Both Statement I and Statement II are incorrect
  4. Statement I is incorrect but Statement II is correct
JEE Main 2025 (Online) 4th April Evening Shift
11

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. In the light of the above statements, choose the correct answer from the options given below

  1. A is true but R is false
  2. Both A and R are true and R is the correct explanation of A
  3. A is false but R is true
  4. Both A and R are true but R is NOT the correct explanation of A
JEE Main 2025 (Online) 3rd April Evening Shift

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