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Dual Nature of Radiation and Matter

JEE Mains Physics. Try each one first, then open its answer.

Top 10 JEE Mains PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 8 times: 2021 Paper 12, 2021 Paper 15, 25 Jul 2022, 11 Apr 2023, 31 Jan 2024, 24 Jan 2026 S2, 2 Apr 2026 S1, 8 Apr 2026 S2. This one: 8 Apr 2026 S2 See all 8 of this type

    18
    K1K_{1} and K2K_{2} be the maximum kinetic energies of photoelectrons emitted from a surface of a given material for the light of wavelength λ1\lambda_{1} and λ2\lambda_{2}, respectively. If λ1=2λ2\lambda_{1}= 2\lambda_{2} then the work function of material is given by :

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  2. Question 2

    This type asked 8 times: 2021 Paper 3, 2021 Paper 6, 2021 Paper 14, 25 Jul 2022, 29 Jul 2022, 29 Jan 2023, 12 Apr 2023, 4 Apr 2026 S2. This one: 4 Apr 2026 S2 See all 8 of this type

    19
    The de Broglie wavelength associated with an electron accelerated through a potential difference V is λe\lambda_{e} and the de Broglie wavelength associated with a proton accelerated through the same potential difference is λp\lambda_{p}. If their corresponding masses are mem_{e} and mpm_{p}, respectively, then the ratio of their de Broglie wavelengths (λeλp)\left( \frac{\lambda_{e}}{\lambda_{p}} \right) is ____\_\_\_\_ .

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  3. Question 3

    This type asked 8 times: 2021 Paper 13, 25 Jun 2022, 27 Jun 2022, 24 Jan 2023, 6 Apr 2023, 11 Apr 2023, 9 Apr 2024, 28 Jan 2026 S1. This one: 28 Jan 2026 S1 See all 8 of this type

    22
    The ratio of de Broglie wavelength of a deuteron with kinetic energy EE to that of an alpha particle with kinetic energy 2E2E, is n:1n:1. The value of nn is ____\_\_\_\_ . (Assume mass of proton == mass of neutron) :

  4. Question 4

    This type asked 7 times: 2021 Paper 7, 2021 Paper 15, 2021 Paper 16, 26 Jun 2022, 28 Jun 2022, 29 Jan 2024, 28 Jan 2025. This one: 28 Jan 2025 See all 7 of this type

    18
    A proton of mass ' mp′m_{p}^{'} ' has same energy EE as that of a photon of wavelength ' λ\lambda '. If the proton is moving at non-relativistic speed, then ratio of its de Broglie wavelength to the wavelength of photon is.

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  5. Question 5

    This type asked 6 times: 26 Jul 2022, 31 Jan 2023, 29 Jan 2024, 1 Feb 2024, 24 Jan 2025, 28 Jan 2026 S2. This one: 28 Jan 2026 S2 See all 6 of this type

    11
    Number of photons of equal energy emitted per second by a 6 mW laser source operating at 663 nm is ____\_\_\_\_ . (Given : h=6.63×10−34h = 6.63 \times10^{- 34} J.s and c=3×108 m/sc = 3 \times10^{8}\text{ }m/s )

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  6. Question 6

    This type asked 6 times: 2021 Paper 4, 2021 Paper 18, 2021 Paper 21, 28 Jun 2022, 29 Jul 2022, 22 Jan 2025. This one: 22 Jan 2025 See all 6 of this type

    85
    A light source of wavelength λ\lambda illuminates a metal surface and electrons are ejected with maximum kinetic energy of 2 eV . If the same surface is illuminated by a light source of wavelength λ2\frac{\lambda}{2}, then the maximum kinetic energy of ejected electrons will be (The work function of metal is 1 eV )

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  7. Question 7

    This type asked 6 times: 2021 Paper 2, 2021 Paper 22, 1 Feb 2023, 8 Apr 2023, 1 Feb 2024, 8 Apr 2024. This one: 8 Apr 2024 See all 6 of this type

    3
    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 kgh = 6.63 \times10^{- 34}\text{ }J\text{ }s,{\text{ }m}_{e}= 9.0 \times10^{- 31}\text{ }kg and mp=1836m_{p}= 1836 times mem_{e} )

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  8. Question 8

    This type asked 5 times: 2021 Paper 19, 25 Jan 2023, 30 Jan 2023, 15 Apr 2023, 6 Apr 2026 S2. This one: 6 Apr 2026 S2 See all 5 of this type

    22
    The de Broglie wavelength for an electron accelerated through the potential difference V1V_{1} volt is λ1\lambda_{1}. When the potential difference is changed to V2V_{2} volt, the associated de Broglie wavelength is increased by 50%50\%. If (V1/V2)=(9/α)\left( V_{1}/V_{2} \right) = (9/\alpha), then the value of α\alpha is ____\_\_\_\_ .

  9. Question 9

    This type asked 5 times: 26 Jun 2022, 6 Apr 2024, 9 Apr 2024, 23 Jan 2025, 5 Apr 2026 S1. This one: 5 Apr 2026 S1 See all 5 of this type

    16
    Light source having wavelength 331 nm is used to generate photoelectrons whose stopping potential is 0.2 V . The work function of the used metal in the experiment is α×10−19 J\alpha \times10^{- 19}\text{ }J. The value of α\alpha is____\_\_\_\_ . ( h=6.62×10−34 J s,e=1.6×10−19Ch = 6.62 \times10^{- 34}\text{ }J\text{ }s,e = 1.6 \times10^{- 19}C and c =3×108 m/s= 3 \times10^{8}\text{ }m/s )

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  10. Question 10

    This type asked 5 times: 13 Apr 2023, 27 Jan 2024, 30 Jan 2024, 3 Apr 2025, 22 Jan 2026 S2. This one: 22 Jan 2026 S2 See all 5 of this type

    19
    Light is incident on a metallic plate having work function 110×10−20 J110 \times 10^{- 20}\text{ }J. If the produced photoelectrons have zero kinetic energy then the angular frequency of the incident light is ____\_\_\_\_ rad/srad/s. (h=6.63×10−34 J.s)\left( h = 6.63 \times 10^{- 34}\text{ }J.s \right)

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