Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Advanced2006ChemistryStructure of AtomActual

According to Bohr's theory E_n= Total energy, K_n= Kinetic energy, V_n= Potential energy, r_n= Radius of n th orbit

Options

  1. A(A) R, (B) Q, (C) P, (D) Q
  2. B(A) S, (B) R, (C) R, (D) S
  3. C(A) R, (B) Q, (C) P, (D) S
  4. D(A) S, (B) P, (C) R, (D) Q

Correct answer

C. (A) R, (B) Q, (C) P, (D) S

Step-by-step solution

According to Bohr's theory, Total energy is E_n=K_n+V_n Kinetic energy =K_n= 1 8 ₀ Z e^2 r Potential energy =V_n= 1 4 ₀ Z e^2 r E_n= 1 8 ₀ Z e^2 r - 1 4 ₀ Z e^2 r Radius of n th orbit (r_n )= n^2 h^2 ₀ m Z e^2 E_n=- m e^4 8 ₀^2 h^2 1 n^2 (A) V_n K_n = - 1 4 ₀ Z e^2 r 1 8 ₀ Z e^2 r =-2 Hence, (A) match with (R) . (B) E_n 1 n^2 or E_n 1 r_n Radius of n th orbit r_n E_n^x x=-1 Hence, (B) match with (Q). (C) Angular momentum = h 2 l(l+1) l =0,1,2, For the lower orbit n=1 l=0 and m=0 Hence, angular momentum of lowest or

Practice Structure of Atom on Quantrex Academy →

More from Structure of Atom

The 2s and the 2p orbital energies of hydrogen atom are E_ 2s ( H ) and E_ 2p ( H ) , respectively. The 2s and the 2p orbital energies of lithium atom are E_ 2s ( Li ) and E_ 2p ( 2026X ^ a+ and Y ^ b+ are hydrogen-like species. The wavelength of light absorbed during the transition between the states with principal quantum numbers n = 1 and n = 2 of X ^ a+ is . 2026Consider two radiations of wavelengths 1. ₁ = 2000 Å 2. ₂ = 6000 Å The ratio of the energies of these two radiations ( E₁ E₂ ) is ________ (Nearest integer). 2026The Bohr radius of a hydrogen like species is 70.53 pm. The species and the stationary state (n) are respectively (Given : Hydrogen atom Bohr radius is 52.9 pm) 2026If shortest wavelength of hydrogen atom in Lyman series is x , then longest wavelength in Balmer series of He ^+ is: 2026Match the List-I with List-II List-I Orbital List-II Radial nodes and nodal plane A. 2s I. 1 Radial node + two nodal planes B. 3s II. 1 Radial node + one nodal plane C. 3p III. 2 R 2026Which of the following statement(s) is/are true ? A. If two orbitals have the same value of (n + l) , the orbital with lower value of n will have lower energy. B. Energies of the o 2026Arrange the following atomic orbitals of multi electron atoms in order of increasing energy. A. n = 3, l = 2, m = +1 B. n = 4, l = 0, m = 0 C. n = 6, l = 1, m = 0 D. n = 5, l = 1, 2026 Full Structure of Atom list All JEE Advanced PYQs