debrogllie duel nature of light questions with solutions

Showing 1–6 of 6 questions

• MCQmediumPhotoelectric effect and dual nature of matterdebrogllie duel nature of light

  An electron of mass m enters a uniform electric field $\vec{E}$=-E₀k̂ at t=0 with initial velocity $\vec{v}$=V₀î. If its initial de-Broglie wavelength is λ₀, its de-Broglie wavelength at time t is:

  Options

  • Option A

    λ₀√(1+m²V₀²/(e²E₀²t²))

  • Option B

    λ₀√(1+e²E₀²t²/(m²V₀²))

  • Option C

    λ₀/√(1+e²E₀²t²/(m²V₀²))

  • Option D

    λ₀/√(1+m²V₀²/(e²E₀²t²))

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• MCQmediumPhotoelectric effect and dual nature of matterdebrogllie duel nature of light

  A photo-emissive substance is illuminated by radiation of wavelength λᵢ and emits electrons with de Broglie wavelength λₑ. The longest wavelength that can cause photoemission is λ₀. Which expression for λₑ is correct?

  Options

  • Option A

    √{h/[2mc(1/λᵢ - 1/λ₀)]}

  • Option B

    √(hλ₀/2mc)

  • Option C

    h/√[2mc(1/λᵢ - 1/λ₀)]

  • Option D

    √(hλᵢ/2mc)

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• MCQeasyPhotoelectric effect and dual nature of matterdebrogllie duel nature of light

  An electron accelerated through a potential difference V₁ has a de-Broglie wavelength λ. When the potential is changed to V₂, its de-Broglie wavelength increases by 50%. The value of V₁/V₂ is:

  Options

  • Option A

    3

  • Option B

    9/4

  • Option C

    3/2

  • Option D

    4

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  JEE Mains30 January 2023Shift 2Evening Shift

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• MCQmediumPhotoelectric effect and dual nature of matterdebrogllie duel nature of light

  A photon of wavelength λ has energy E₀, equal to the kinetic energy of a proton of mass $m_p.$ The ratio $\lambda_{p}$/$\lambda_{ph}$of de Broglie wavelength of the proton to wavelength of the photon is:

  Options

  • Option A

    (1/c)√(2E₀/$m_p)$

  • Option B

    (1/c)√(E₀/(2$m_p))$

  • Option C

    (2/c)√(E₀/$m_p)$

  • Option D

    (1/2c)√(E₀/$m_p)$

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  JEE Mains 2025 28 Jan Morning Shift

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• IntegermediumPhotoelectric effect and dual nature of matterdebrogllie duel nature of light

  An electron is released from rest near an infinite non-conducting sheet of uniform surface charge density -σ. The magnitude of the rate of change of its de Broglie wavelength varies as 1/tⁿ. Find n.

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• NumericdifficultPhotoelectric effect and dual nature of matterdebrogllie duel nature of light

  An electron is in the n = 3 orbit of a hydrogen-like atom of atomic number Z. A neutron with thermal energy kᴮT has the same de Broglie wavelength as the electron. If T = Z²h²/(απ²a₀²mᴺkᴮ), find α.

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