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Atoms · Question 18

JEE Main 2025 (Online) 2nd April Morning ShiftMCQEasy📈 Topic in 35% papers+4−1
1

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

Answer

(1) (A), (B) only

Solution

En = -13.6 Z2n2 eV; compare Z2n2.

H, ground state (Z = 1, n = 1): Z2n2 = 1

(A) He+, first excited (Z = 2, n = 2): 44 = 1 ⇒ correct

(B) Li++, second excited (Z = 3, n = 3): 99 = 1 ⇒ correct

(C) He+, ground (Z = 2, n = 1): 4 1 ⇒ incorrect

(D) He+ (n = 2): 1, but Li++ ground: 9 ⇒ incorrect

(A), (B) only

Answer: (1)

JEE Main 2025 (Online) 2nd April Morning Shift

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2

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
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3

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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