Atomic Structure and X-rays questions with solutions

Showing 1–10 of 252 questions

• MCQmediumAtomic Structure and X-rays

  An electron from the nth excited state of hydrogen emits a photon while returning to the ground state. Let λₙ be the electron de Broglie wavelength in the nth orbit and Λₙ the emitted-photon wavelength. For large n, which relation is correct?

  Options

  • Option A

    Λₙ ≈ A + B/λₙ

  • Option B

    Λₙ² ≈ A + B/λₙ²

  • Option C

    Λₙ² ≈ λₙ

  • Option D

    Λₙ ≈ A + B/λₙ²

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  JEE Mains 2018

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• MCQmediumAtomic Structure and X-rays

  In Bohr's atomic model of hydrogen, let K, P and E are the kinetic energy, potential energy and total energy of the electron respectively. Choose the correct option when the electron undergoes transitions to a higher level :

  Options

  • Option A

    All K, P and E increase

  • Option B

    K decreases, P and E increase

  • Option C

    P decreases, K and E increase

  • Option D

    K increases, P and E decrease

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• MCQmediumAtomic Structure and X-rays

  Consider the n = 3 orbit of He⁺. Using the non-relativistic Bohr model, find the electron speed. Take k = 9 × 10⁹ N m² C⁻², Z = 2 and h = 6.6 × 10⁻³⁴ J s.

  Options

  • Option A

    1.46 × 10⁶ m s⁻¹

  • Option B

    0.73 × 10⁶ m s⁻¹

  • Option C

    3.0 × 10⁸ m s⁻¹

  • Option D

    2.92 × 10⁶ m s⁻¹

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• NumericmediumAtomic Structure and X-raysatomic structure and bohr atomic model

  If the binding energy of ground state electron in hydrogen atom is 13.6 eV, the energy required to remove the electron from the second excited state of Li²⁺ is x × 10⁻¹ eV. The value of x is ______.

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  JEE Mains31 January 2023Shift 2Evening Shift

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• IntegermediumAtomic Structure and X-raysatomic structure and bohr atomic model

  If 917 Å is the lowest wavelength of the Lyman series, find the lowest wavelength of the Balmer series in Å.

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  JEE Mains10 April 2023Shift 2Evening Shift

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• MCQmediumAtomic Structure and X-raysatomic structure and bohr atomic model

  An electron rotates in a circle around a nucleus having positive charge Ze. Correct relation between total energy (E) of electron to its potential energy (U) is:

  Options

  • Option A

    E = 2U

  • Option B

    2E = 3U

  • Option C

    E = U

  • Option D

    2E = U

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• MCQeasyAtomic Structure and X-raysatomic structre and bohr atomic model

  Using the Bohr model for hydrogen-like atoms, the ratio of the radius of the 5th orbit in Li²⁺ to that in He⁺ is:

  Options

  • Option A

    4/9

  • Option B

    3/2

  • Option C

    9/4

  • Option D

    2/3

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  JEE Mains 2025 4 April Morning Shift

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• NumericmediumAtomic Structure and X-raysatomic structure and bohr atomic model

  An electron having kinetic energy 13.0 eV collides with hydrogen atoms initially in their ground states. Neglect recoil and consider only collisions in which the atom remains bound after the collision. How many different excited Bohr states of hydrogen can be reached in a single collision?

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• NumericmediumAtomic Structure and X-raysatomic structure and bohr atomic model

  A charged particle moves in a circular orbit perpendicular to a uniform magnetic field B. Suppose Bohr quantization mvr = nħ is artificially imposed while magnetic force qvB supplies the centripetal force. If the orbit changes from n = 1 to n = 16, by what integer factor does the orbital radius increase?

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• NumericmediumAtomic Structure and X-raysatomic structre and bohr atomic model

  Using the Bohr model, let B₂ and B₄ be the magnetic fields at the nucleus produced by the orbital motion of the electron in the second and fourth Bohr orbits of a hydrogen atom, respectively. Find B₂ ÷ B₄.

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