Photoelectric effect and dual nature of matter questions with solutions

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• Multi-correctmediumPhotoelectric effect and dual nature of matterquestion based on photoelectric effect

  For monochromatic radiation incident on a photocathode, assume the quantum efficiency does not vary appreciably over the frequency range considered. Which statements are correct?

  Select all that apply

  • Option A

    At fixed frequency, photon flux is proportional to radiation intensity

  • Option B

    At fixed intensity, photon flux is inversely proportional to photon frequency

  • Option C

    At fixed optical power, halving the wavelength halves the number of photons delivered per second

  • Option D

    At fixed photon flux, increasing frequency decreases the incident optical power

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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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  JEE Mains24 January 2023Shift 2Evening Shift

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• MCQmediumPhotoelectric effect and dual nature of matterquestion based on photoelectric effect

  Two isolated metallic spheres A and B are made of different photosensitive materials and are illuminated with the same monochromatic radiation of wavelength 310 nm. Sphere A has radius 5 cm and work function 2.0 eV. Sphere B has radius 10 cm and work function 2.5 eV. Both spheres are initially neutral and are illuminated long enough for positive self-charging to stop further photoemission. Take hc = 1240 eV·nm. What is the ratio of the final positive charges Q(B): Q(A)?

  Options

  • Option A

    1:1

  • Option B

    3:2

  • Option C

    2:1

  • Option D

    4:3

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

  A beam of neutrons, each moving with speed 2.0×10³ m·s⁻¹, is incident on a crystal with interplanar spacing 0.20 nm. Take neutron mass mₙ = 1.67×10⁻²⁷ kg and h = 6.63×10⁻³⁴ J·s. If first-order Bragg diffraction occurs at angle N degrees, find N to the nearest integer.

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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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  JEE Mains 2024 08 Apr Morning Shift

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• MCQeasyPhotoelectric effect and dual nature of matterquestion based on photoelectric effect

  The number of electrons flowing per second in the filament of a 110 W bulb operating at 220 V is : (Given e = 1.6 × 10⁻¹⁹ C)

  Options

  • Option A

    31.25 × 10¹⁷

  • Option B

    6.25 × 10¹⁸

  • Option C

    6.25 × 10¹⁷

  • Option D

    1.25 × 10¹⁹

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  JEE Mains 2024 06 Apr Evening Shift

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

  A charged particle initially has momentum magnitude p and de Broglie wavelength 0.60 nm. It passes through a uniform electric field directed parallel to its motion for a short time. The electric impulse delivered by the field has magnitude p and acts in the same direction as the initial momentum. If the final wavelength is (N ÷ 100) nm, find N.

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

  A non-relativistic particle has a de Broglie wavelength of 0.40 nm. It undergoes an inelastic collision in which it loses 36% of its kinetic energy, but the particle itself is not transformed. If its new de Broglie wavelength is (N ÷ 100) nm, find N.

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• MCQmediumPhotoelectric effect and dual nature of matterquestion based on photoelectric effect

  A completely absorbing photocathode receives monochromatic light of wavelength 400 nm and total optical power 10 mW. Its quantum efficiency is 20%. Assume all emitted photoelectrons are collected at saturation and neglect the mechanical recoil associated with emitted electrons when calculating radiation force. Take hc = 1240 eV·nm, e = 1.6×10⁻¹⁹ C and c = 3×10⁸ m·s⁻¹. Which pair is closest to the saturation current and the radiation force due to the incident photons?

  Options

  • Option A

    0.645 mA and 3.33×10⁻¹¹ N

  • Option B

    0.323 mA and 6.67×10⁻¹¹ N

  • Option C

    0.645 mA and 6.67×10⁻¹¹ N

  • Option D

    1.29 mA and 3.33×10⁻¹¹ N

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

  A non-relativistic particle of fixed mass is initially moving with speed v, and its de Broglie wavelength is measured to be 0.80 nm. The particle is then accelerated so that its speed becomes 25% greater than its initial speed, without changing its identity or mass. If the new de Broglie wavelength is (N ÷ 100) nm, find N.

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