Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NTA Abhyas JEE Main2020ChemistryStructure of AtomPractice

The de-Broglie wavelength of an α -particles at a voltage V is (Given that α -particle has 2 units positive charge and 4 units mass)

Options

  1. Aλ= 12 .3 V A o
  2. Bλ= 0 .286 V A o
  3. Cλ= 0 .101 V A o
  4. Dλ= 0 .856 V A o

Correct answer

C. λ= 0 .101 V A o

Step-by-step solution

The de-Broglie wavelength associated with the charged particle as λ= h mv 1 2 mv 2 = K .E 1 2 mv 2 × 2m = 2m K .E = m 2 v 2 2m· K .E = mv λ = h 2 m K.E = h 2 m α · 2 eV = 6.626 × 1 0 - 3 4 2 × 1.66 × 1 0 - 2 7 × 4 × 1.6 × 1 0 - 1 9 × 2 × V = 6.626 × 1 0 - 3 4 V × 1 0 - 2 3 × 6.519 = 1.018 × 1 0 - 1 1 V = 0 .1018 V   A o

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 NTA Abhyas JEE Main PYQs