JEE Main · 2024 · 01 Feb 2024 · Shift 1 · Atomic Structure

WhatsApp Email
According to the wave-particle duality of matter by de-Broglie, which of the following graph plot presents most appropriate relationship between wavelength of electron () and momentum of electron (p)?
  1. (A)(see structure)
    ✓ Correct
  2. (B)(see structure)
  3. (C)(see structure)
  4. (D)(see structure)

Answer: (A)

Solution

By de Broglie's relation, , so , i.e. constant. A plot of (y-axis) against (x-axis) is therefore a rectangular hyperbola — the curve that decreases and approaches both axes asymptotically, matching option (1).

JEE Main · 2024 · 01 Feb 2024 · Shift 1 · Single correct option

More JEE Main questions on Atomic Structure

  1. Given below are two statements:

    Statement I: When an electric discharge is passed through gaseous hydrogen, the hydrogen molecules dissociate and the energetically excited hydrogen atoms produce electromagnetic radiation of discrete frequencies.

    Statement II: The frequency of s …
    JEE Main 2026View solution →
  2. The energy required by electrons, present in the first Bohr orbit of hydrogen atom to be excited to second Bohr orbit is ____ .

    Given : .
    JEE Main 2026View solution →
  3. Consider the following spectral lines for atomic hydrogen:
    A. First line of Paschen series
    B. Second line of Balmer series
    C. Third line of Paschen series
    D. Fourth line of Bracket series

    The correct arrangement of the above lines in ascending order of energy is:
    JEE Main 2026View solution →
  4. The energy of first (lowest) Balmer line of H atom is x J. The energy (in J) of second Balmer line of H atom is :
    JEE Main 2026View solution →
  5. Which of the following statements regarding the energy of the stationary state is true in the following one-electron system ?
    JEE Main 2026View solution →
  6. Given,
    (A)
    (B)

    The maximum number of electron(s) in an atom that can have the quantum numbers as given in (A) and (B) respectively are :
    JEE Main 2026View solution →