debroglie duel nature of light questions with solutions

Showing 1–10 of 48 questions

• Multi-correctmediumPhotoelectric effect and dual nature of matterdebroglie duel nature of light

  Two non-relativistic particles are experimentally found to have exactly the same de Broglie wavelength. Which statements must be correct?

  Select all that apply

  • Option A

    Their momentum magnitudes are equal

  • Option B

    Their kinetic energies must be equal

  • Option C

    If their masses are different, their speeds can be different

  • Option D

    If both have equal charge magnitudes and are accelerated from rest, the products mV must be equal for them to acquire equal wavelengths

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

  A non-relativistic particle of fixed mass undergoes a very small change in speed such that Δv ÷ v = +0.03. Using a first-order approximation, what is the corresponding fractional change in its de Broglie wavelength?

  Options

  • Option A

    Δλ ÷ λ = +0.03

  • Option B

    Δλ ÷ λ = -0.03

  • Option C

    Δλ ÷ λ = -0.06

  • Option D

    Δλ ÷ λ = +0.06

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• NumericeasyPhotoelectric effect and dual nature of matterdebroglie duel nature of light

  An electron starts from rest and is accelerated through an unknown potential difference. Its measured de Broglie wavelength is 1.227 Å. Use the non-relativistic relation λ(Å) = 12.27 ÷ √V, where V is measured in volts. If the accelerating potential is N V, find N.

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

  An electron is accelerated from rest through a potential difference V₁ and has de Broglie wavelength λ₁. When the accelerating potential is changed to V₂, the associated de Broglie wavelength increases by 50%. If V₁/V₂ = 9/α, find α.

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

  An α-particle, a proton and an electron have the same kinetic energy. Which one of the following is correct in case of their De-Broglie wavelength:

  Options

  • Option A

    λᵅ > λₚ > λₑ

  • Option B

    λᵅ < λₚ < λₑ

  • Option C

    λᵅ = λₚ = λₑ

  • Option D

    λᵅ > λₚ < λₑ

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

  A proton and an electron are associated with same de-Broglie wavelength. The ratio of their kinetic energies is: (Assume h = 6.63 × 10⁻³⁴ J s, mₑ = 9.0 × 10⁻³¹ kg and mₚ = 1836 times mₑ)

  Options

  • Option A

    1 : 1836

  • Option B

    1 : 1/1836

  • Option C

    1 : 1/√1836

  • Option D

    1 : √1836

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

  A proton and an electron have the same de Broglie wavelength. If Kₚ and Kₑ be the kinetic energies of proton and electron respectively. Then choose the correct relation:

  Options

  • Option A

    Kₚ > Kₑ

  • Option B

    Kₚ = Kₑ

  • Option C

    Kₚ = Kₑ²

  • Option D

    Kₚ < Kₑ

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• NumericmediumPhotoelectric effect and dual nature of matterdebroglie duel nature of light

  Electrons accelerated from rest through 900 V produce a first-order diffraction maximum from one crystal at a certain Bragg angle. A second crystal has interplanar spacing 1.5 times that of the first crystal. What accelerating voltage should be used with the second crystal so that the first-order diffraction maximum occurs at the same Bragg angle? If the required voltage is N V, find N.

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

  The de Broglie wavelength of an oxygen molecule at 27°C is x × 10⁻¹² m. The value of x is (take Planck's constant = 6.63 × 10⁻³⁴ J.s, Boltzmann constant = 1.38 × 10⁻²³ J/K, mass of oxygen. Molecule = 5.31 × 10⁻²⁶ kg).

  Options

  • Option A

    26

  • Option B

    24

  • Option C

    30

  • Option D

    20

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• NumericmediumPhotoelectric effect and dual nature of matterdebroglie duel nature of light

  Electrons are accelerated from rest through 150 V and then incident on a crystal having interplanar spacing 1.00 Å. Use the non-relativistic electron relation λ(Å) = 12.27 ÷ √V and the first-order Bragg condition 2d sinθ = λ. If the Bragg angle is approximately N degrees, find N to the nearest integer.

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