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Structure of Atom · Question 37

JEE Main 2025 (Online) 29th January Morning ShiftMCQMedium📈 Topic in 6% papers+4−1
1

If a0 is denoted as the Bohr radius of hydrogen atom, then what is the de Broglie wavelength (λ) of the electron present in the second orbit of hydrogen atom? [n : any integer]

  1. 8 a0n
  2. 2a0n
  3. na04
  4. 4 a0n

Answer

(1) 8 a0n

Solution

Radius of the nth Bohr orbit of H: rn = a0 n2 r2 = 4a0

For a stationary orbit the circumference holds a whole number of waves: 2 r = n

= 2 r2n = 2 (4a0)n = 8 a0n

(For the second orbit n = 2, so = 4 a0.)

Answer: (1)

JEE Main 2025 (Online) 29th January Morning Shift

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2

In a multielectron atom, which of the following orbitals described by three quantum numbers will have same energy in absence of electric and magnetic fields? Choose the correct answer from the options given below:

  1. B and C Only
  2. C and D Only
  3. A and B Only
  4. D and E Only
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3

Which of the following is/are not correct with respect to energy of atomic orbitals of hydrogen atom? Choose the correct answer from the options given below :

  1. (A) and (B) only
  2. (A) and (C) only
  3. (B) and (D) only
  4. (C) and (D) only
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