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Atoms · Question 12

JEE Main 2025 (Online) 7th April Morning ShiftMCQEasy📈 Topic in 35% papers+4−1
1

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

Answer

(3) 3

Solution

Second excited state ⇒ n = 3; ground state ⇒ n = 1.

For a hydrogen-like ion: En = - 13.6 Z2n2 eV

E = 13.6 Z2 ( 112 - 132 ) = 13.6 Z2 89

⇒ 13.6 Z2 89 = 108.8

⇒ Z2 = 108.8 913.6 8 = 9

∴ Z = 3

Answer: (3)

JEE Main 2025 (Online) 7th April Morning Shift

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2

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
3

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
4

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
5

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
6

An electron in the hydrogen atom initially in the fourth excited state makes a transition to nth energy state by emitting a photon of energy 2.86 eV. The integer value of n will be .

JEE Main 2025 (Online) 3rd April Evening Shift
7

Considering Bohr's atomic model for hydrogen atom : Choose the correct answer from the options given below :

  1. (A), (B) only
  2. (A), (D) only
  3. (A), (C) only
  4. (B), (D) only
JEE Main 2025 (Online) 2nd April Morning Shift
8

Assuming the validity of Bohr's atomic model for hydrogen-like ions the radius of Li++ ion in its ground state is given by 1Xa0, where X = (Where a0 is the first Bohr's radius.)

  1. 2
  2. 9
  3. 1
  4. 3
JEE Main 2025 (Online) 2nd April Evening Shift
9

The frequency of revolution of the electron in Bohr's orbit varies with n, the principal quantum number as:

  1. 1n4
  2. 1n2
  3. 1n3
  4. 1n
JEE Main 2025 (Online) 28th January Evening Shift

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