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What must be the velocity of a beam of e...

What must be the velocity of a beam of electron if they are to display a de Broglie wavelength of `1 Å`

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To find the velocity of a beam of electrons that displays a de Broglie wavelength of 1 Å (1 angstrom), we can follow these steps: ### Step-by-Step Solution: 1. **Identify Given Values**: - De Broglie wavelength (λ) = 1 Å = \(1 \times 10^{-10}\) m - Mass of an electron (m) = \(9.1 \times 10^{-31}\) kg - Planck's constant (h) = \(6.626 \times 10^{-34}\) J·s ...
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Knowledge Check

  • The de Broglie wavelength is given by

    A
    `p=(2pih)/(lamda)`
    B
    `p=(h)/(2lamda)`
    C
    `p=(2pi)/(hlamda)`
    D
    `p=(2pi)/(lamda)`
  • If a proton and electron have the same de Broglie wavelength, then

    A
    kinetic energy of electron `lt` kinetic energy of proton
    B
    kinetic energy of electron = kinetic energy of proton
    C
    momentum of electron = momentum of proton
    D
    momentum of electron `lt` momentum of proton
  • When the velocity of an electron increases, its de Broglie wavelength

    A
    increases
    B
    decreases
    C
    remains same
    D
    may increase or decrease
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