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A 12.5eV electron beam is used to bombar...

A 12.5eV electron beam is used to bombard gaseous hydrogen at room temperature What series of wavelengths will be emitted.

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Lyman series: 103 nm and 122 nm, Balmer series: 656 nm.
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A 12.5 eV electron beam is used to bombard gaseous hydrogen at room temperature. Upto which energy level the hydrogen atoms would be excited ? Calculate the wavelengths of the first member of Lyman and first member of Balmer series.

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Knowledge Check

  • When a beam of accelerated electrons collides with a target then continuous spectrum of X-rays is emitted. Which wavelength will be absent in the spectrum of X-ray emitted from X-ray tube operated at 40 kV ?

    A
    1.5Å
    B
    0.5Å
    C
    0.25Å
    D
  • A monochromatic light source of frequency villuminates a metallic surface and ejects photoelectron. The electron with maximum energy are just able to ionize the hydrogen atom in the ground state. When the whole experiment is repeated with an incident radiation of frequency 5/6 v, the photoelectrons so emitted are able to excite the hydrogen atom beam which then emits a radiation of the wavelength 1215Å . Find the work function of the metal :

    A
    6.875 eV
    B
    8.756 eV
    C
    7.568 eV
    D
    5.687 eV
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    A
    `3 lamda`
    B
    `2 lamda`
    C
    `5 lamda`
    D
    `(3 lamda)/(5)`
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    (a) Using Bohr's second postulate of quantization of orbital angular momentum, show that the circumference of the electron in the nth orbital state in hydrogen atom is n times the de-Broglie wavelength associated with it. (b) The electron in hydrogen atom is initially in the third excited state. What is the maximum number of spectral lines which can be emitted when it finally moves to the ground state ?

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